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2141713632 = 253232181233
BaseRepresentation
bin111111110100111…
…1111010011100000
312112021000022210010
41333221333103200
513341234314012
6552304204520
7104034160032
oct17751772340
95467008703
102141713632
119a9a3a173
124b9309740
13281934696
14164627c52
15c8056c3c
hex7fa7f4e0

2141713632 has 144 divisors (see below), whose sum is σ = 5934893328. Its totient is φ = 676177920.

The previous prime is 2141713627. The next prime is 2141713663. The reversal of 2141713632 is 2363171412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2141713632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9191788 + ... + 9192020.

It is an arithmetic number, because the mean of its divisors is an integer number (41214537).

Almost surely, 22141713632 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 2141713632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967446664).

2141713632 is an abundant number, since it is smaller than the sum of its proper divisors (3793179696).

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

2141713632 is a wasteful number, since it uses less digits than its factorization.

2141713632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 442 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 2141713632 is about 46278.6520114837. The cubic root of 2141713632 is about 1289.0026206858.

The spelling of 2141713632 in words is "two billion, one hundred forty-one million, seven hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 181 184 233 276 362 368 466 529 543 552 699 724 736 932 1058 1086 1104 1398 1448 1587 1864 2116 2172 2208 2796 2896 3174 3728 4163 4232 4344 5359 5592 5792 6348 7456 8326 8464 8688 10718 11184 12489 12696 16077 16652 16928 17376 21436 22368 24978 25392 32154 33304 42173 42872 49956 50784 64308 66608 84346 85744 95749 99912 123257 126519 128616 133216 168692 171488 191498 199824 246514 253038 257232 287247 337384 369771 382996 399648 493028 506076 514464 574494 674768 739542 765992 969979 986056 1012152 1148988 1349536 1479084 1531984 1939958 1972112 2024304 2297976 2909937 2958168 3063968 3879916 3944224 4048608 4595952 5819874 5916336 7759832 9191904 11639748 11832672 15519664 22309517 23279496 31039328 44619034 46558992 66928551 89238068 93117984 133857102 178476136 267714204 356952272 535428408 713904544 1070856816 2141713632