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3681900495 = 3357131072801
BaseRepresentation
bin1101101101110101…
…0101011111001111
3100111121010220222000
43123131111133033
530020031303440
61405203523343
7160145431530
oct33335253717
910447126860
103681900495
11161a378379
12869089553
13468a57560
1426cdcc687
1516838d730
hexdb7557cf

3681900495 has 128 divisors (see below), whose sum is σ = 8134318080. Its totient is φ = 1538611200.

The previous prime is 3681900493. The next prime is 3681900529. The reversal of 3681900495 is 5940091863.

It is a happy number.

It is not a de Polignac number, because 3681900495 - 21 = 3681900493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3681900495.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3681900493) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1313095 + ... + 1315895.

It is an arithmetic number, because the mean of its divisors is an integer number (63549360).

Almost surely, 23681900495 is an apocalyptic number.

3681900495 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3681900495 is an abundant number, since it is smaller than the sum of its proper divisors (4452417585).

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

3681900495 is a wasteful number, since it uses less digits than its factorization.

3681900495 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3681900495 is about 60678.6658966724. The cubic root of 3681900495 is about 1544.1542548094.

The spelling of 3681900495 in words is "three billion, six hundred eighty-one million, nine hundred thousand, four hundred ninety-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 107 117 135 189 195 273 315 321 351 455 535 585 749 819 945 963 1365 1391 1605 1755 2247 2457 2801 2889 3745 4095 4173 4815 6741 6955 8403 9737 11235 12285 12519 14005 14445 19607 20223 20865 25209 29211 33705 36413 37557 42015 48685 58821 62595 75627 87633 98035 101115 109239 126045 146055 176463 182065 187785 254891 262899 294105 299707 327717 378135 438165 529389 546195 764673 882315 899121 983151 1274455 1314495 1498535 1638585 2097949 2294019 2646945 2697363 3823365 3896191 4495605 4915755 6293847 6882057 8092089 10489745 11470095 11688573 13486815 18881541 19480955 27273337 31469235 34410285 35065719 40460445 56644623 58442865 81820011 94407705 105197157 136366685 175328595 245460033 283223115 409100055 525985785 736380099 1227300165 3681900495