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3361094503936 = 291317157189199
BaseRepresentation
bin110000111010010000110…
…110000000111000000000
3102220022120110021200002021
4300322100312000320000
5420032010143111221
611052022051531224
7464555024616631
oct60722066007000
912808513250067
103361094503936
111086483251044
1246349b8b9b14
131b4c46a93b50
14b896bdd9888
155c66a7a3041
hex30e90d80e00

3361094503936 has 160 divisors (see below), whose sum is σ = 7706450505600. Its totient is φ = 1450715774976.

The previous prime is 3361094503933. The next prime is 3361094503939. The reversal of 3361094503936 is 6393054901633.

It is an interprime number because it is at equal distance from previous prime (3361094503933) and next prime (3361094503939).

It is a super-2 number, since 2×33610945039362 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3361094503933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17670265 + ... + 17859463.

It is an arithmetic number, because the mean of its divisors is an integer number (48165315660).

Almost surely, 23361094503936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3361094503936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853225252800).

3361094503936 is an abundant number, since it is smaller than the sum of its proper divisors (4345356001664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3361094503936 is a wasteful number, since it uses less digits than its factorization.

3361094503936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189404 (or 189388 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 52.

The spelling of 3361094503936 in words is "three trillion, three hundred sixty-one billion, ninety-four million, five hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 157 208 221 256 272 314 416 442 512 544 628 832 884 1088 1256 1664 1768 2041 2176 2512 2669 3328 3536 4082 4352 5024 5338 6656 7072 8164 8704 10048 10676 14144 16328 20096 21352 28288 32656 34697 40192 42704 56576 65312 69394 80384 85408 113152 130624 138788 170816 189199 261248 277576 341632 378398 522496 555152 683264 756796 1044992 1110304 1366528 1513592 2220608 2459587 3027184 3216383 4441216 4919174 6054368 6432766 8882432 9838348 12108736 12865532 17764864 19676696 24217472 25731064 29704243 39353392 41812979 48434944 51462128 59408486 78706784 83625958 96869888 102924256 118816972 157413568 167251916 205848512 237633944 314827136 334503832 386155159 411697024 475267888 504972131 629654272 669007664 772310318 823394048 950535776 1009944262 1259308544 1338015328 1544620636 1646788096 1901071552 2019888524 2676030656 3089241272 3802143104 4039777048 5352061312 6178482544 6564637703 7604286208 8079554096 10704122624 12356965088 13129275406 15208572416 16159108192 21408245248 24713930176 26258550812 32318216384 49427860352 52517101624 64636432768 98855720704 105034203248 129272865536 197711441408 210068406496 258545731072 420136812992 840273625984 1680547251968 3361094503936