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73055318169344 = 287193211230449
BaseRepresentation
bin10000100111000110000100…
…010010011101011100000000
3100120200000112201210012201112
4100213012010102131130000
534033414242422404334
6415213052211222452
721250033613412560
oct2047060422353400
9316600481705645
1073055318169344
112130664a616225
12823a73a2a7a28
13319c119025094
141407c794d2da0
1586a50a9334ce
hex42718449d700

73055318169344 has 72 divisors (see below), whose sum is σ = 167520955442400. Its totient is φ = 31147196940288.

The previous prime is 73055318169313. The next prime is 73055318169409. The reversal of 73055318169344 is 44396181355037.

It is a super-2 number, since 2×730553181693442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105269369 + ... + 105961080.

It is an arithmetic number, because the mean of its divisors is an integer number (2326679936700).

Almost surely, 273055318169344 is an apocalyptic number.

It is an amenable number.

73055318169344 is an abundant number, since it is smaller than the sum of its proper divisors (94465637273056).

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

73055318169344 is a wasteful number, since it uses less digits than its factorization.

73055318169344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211230665 (or 211230651 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 59.

The spelling of 73055318169344 in words is "seventy-three trillion, fifty-five billion, three hundred eighteen million, one hundred sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 193 224 256 386 448 772 896 1351 1544 1792 2702 3088 5404 6176 10808 12352 21616 24704 43232 49408 86464 172928 345856 211230449 422460898 844921796 1478613143 1689843592 2957226286 3379687184 5914452572 6759374368 11828905144 13518748736 23657810288 27037497472 40767476657 47315620576 54074994944 81534953314 94631241152 163069906628 189262482304 285372336599 326139813256 378524964608 570744673198 652279626512 1141489346396 1304559253024 2282978692792 2609118506048 4565957385584 5218237012096 9131914771168 10436474024192 18263829542336 36527659084672 73055318169344