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156714640384 = 2108921392
BaseRepresentation
bin1001000111110011101…
…0111010010000000000
3112222111201020120212011
42101330322322100000
510031422421443014
6155554350342304
714215351315201
oct2217472722000
9488451216764
10156714640384
116050a368925
12264574ba994
1311a16712353
1478294695a8
15412332c7c4
hex247ceba400

156714640384 has 99 divisors (see below), whose sum is σ = 319131539337. Its totient is φ = 76919513088.

The previous prime is 156714640343. The next prime is 156714640387. The reversal of 156714640384 is 483046417651.

The square root of 156714640384 is 395872.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 30092534784 + 126622105600 = 173472^2 + 355840^2 .

It is not an unprimeable number, because it can be changed into a prime (156714640387) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1127443387 + ... + 1127443525.

Almost surely, 2156714640384 is an apocalyptic number.

156714640384 is the 395872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156714640384

156714640384 is an abundant number, since it is smaller than the sum of its proper divisors (162416898953).

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

156714640384 is an frugal number, since it uses more digits than its factorization.

156714640384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

Multiplying 156714640384 by its sum of digits (49), we get a square (7679017378816 = 27711042).

The spelling of 156714640384 in words is "one hundred fifty-six billion, seven hundred fourteen million, six hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 89 128 139 178 256 278 356 512 556 712 1024 1112 1424 2224 2848 4448 5696 7921 8896 11392 12371 15842 17792 19321 22784 24742 31684 35584 38642 45568 49484 63368 71168 77284 91136 98968 126736 142336 154568 197936 253472 309136 395872 506944 618272 791744 1013888 1101019 1236544 1583488 1719569 2027776 2202038 2473088 3166976 3439138 4055552 4404076 4946176 6333952 6878276 8111104 8808152 9892352 12667904 13756552 17616304 19784704 27513104 35232608 55026208 70465216 110052416 140930432 153041641 220104832 281860864 306083282 440209664 563721728 612166564 880419328 1127443456 1224333128 1760838656 2448666256 4897332512 9794665024 19589330048 39178660096 78357320192 156714640384