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156144165664 = 2523836014253
BaseRepresentation
bin1001000101101011101…
…0101110001100100000
3112221000221210110122211
42101122322232030200
510024240401300124
6155422011211504
714165253336454
oct2213272561440
9487027713584
10156144165664
1160247346813
1226318446b94
1311955483646
1477b37aa664
1540dd1e2e94
hex245aeae320

156144165664 has 96 divisors (see below), whose sum is σ = 325255803264. Its totient is φ = 73637836800.

The previous prime is 156144165659. The next prime is 156144165731. The reversal of 156144165664 is 466561441651.

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 15 ways as a sum of consecutive naturals, for example, 36711762 + ... + 36716014.

It is an arithmetic number, because the mean of its divisors is an integer number (3388081284).

Almost surely, 2156144165664 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 156144165664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162627901632).

156144165664 is an abundant number, since it is smaller than the sum of its proper divisors (169111637600).

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

156144165664 is a wasteful number, since it uses less digits than its factorization.

156144165664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970 (or 4962 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 49.

The spelling of 156144165664 in words is "one hundred fifty-six billion, one hundred forty-four million, one hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 83 92 166 184 332 368 601 664 736 1202 1328 1909 2404 2656 3818 4253 4808 7636 8506 9616 13823 15272 17012 19232 27646 30544 34024 49883 55292 61088 68048 97819 99766 110584 136096 195638 199532 221168 352999 391276 399064 442336 705998 782552 798128 1147309 1411996 1565104 1596256 2294618 2556053 2823992 3130208 4589236 5112106 5647984 8118977 9178472 10224212 11295968 16237954 18356944 20448424 32475908 36713888 40896848 58789219 64951816 81793696 117578438 129903632 212152399 235156876 259807264 424304798 470313752 848609596 940627504 1697219192 1881255008 3394438384 4879505177 6788876768 9759010354 19518020708 39036041416 78072082832 156144165664