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151620016128 = 211373525391
BaseRepresentation
bin1000110100110101000…
…0011101100000000000
3112111100122210212012220
42031031100131200000
54441004211004003
6153353035051040
713645166605230
oct2151520354000
9474318725186
10151620016128
1159335601259
12254752a0a80
13113b40a2a99
1474a49b5cc0
153e25e34353
hex234d41d800

151620016128 has 96 divisors (see below), whose sum is σ = 461967367680. Its totient is φ = 43319992320.

The previous prime is 151620016111. The next prime is 151620016129. The reversal of 151620016128 is 821610026151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1516200161282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151620016129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1719688 + ... + 1805703.

It is an arithmetic number, because the mean of its divisors is an integer number (4812160080).

Almost surely, 2151620016128 is an apocalyptic number.

It is an amenable number.

151620016128 is an abundant number, since it is smaller than the sum of its proper divisors (310347351552).

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

151620016128 is an equidigital number, since it uses as much as digits as its factorization.

151620016128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525423 (or 3525403 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 151620016128 in words is "one hundred fifty-one billion, six hundred twenty million, sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 43008 3525391 7050782 10576173 14101564 21152346 24677737 28203128 42304692 49355474 56406256 74033211 84609384 98710948 112812512 148066422 169218768 197421896 225625024 296132844 338437536 394843792 451250048 592265688 676875072 789687584 902500096 1184531376 1353750144 1579375168 1805000192 2369062752 2707500288 3158750336 3610000384 4738125504 5415000576 6317500672 7220000768 9476251008 10830001152 12635001344 18952502016 21660002304 25270002688 37905004032 50540005376 75810008064 151620016128