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556157101152 = 25367101856111
BaseRepresentation
bin10000001011111011000…
…10111110010001100000
31222011112112201000210210
420011331202332101200
533103002204214102
61103254532454120
755116043234332
oct10057542762140
91864475630723
10556157101152
111a49572037a4
128b953a7a340
13405a36a0703
141ccbd579452
15e700ce436c
hex817d8be460

556157101152 has 96 divisors (see below), whose sum is σ = 1496374193664. Its totient is φ = 180810432000.

The previous prime is 556157101151. The next prime is 556157101153. The reversal of 556157101152 is 251101751655.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (556157101151) and next prime (556157101153).

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

It is a self number, because there is not a number n which added to its sum of digits gives 556157101152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556157101151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221577 + ... + 1077687.

It is an arithmetic number, because the mean of its divisors is an integer number (15587231184).

Almost surely, 2556157101152 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 556157101152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748187096832).

556157101152 is an abundant number, since it is smaller than the sum of its proper divisors (940217092512).

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

556157101152 is a wasteful number, since it uses less digits than its factorization.

556157101152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856292 (or 856284 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 39.

The spelling of 556157101152 in words is "five hundred fifty-six billion, one hundred fifty-seven million, one hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 101 134 201 202 268 303 402 404 536 606 804 808 1072 1212 1608 1616 2144 2424 3216 3232 4848 6432 6767 9696 13534 20301 27068 40602 54136 81204 108272 162408 216544 324816 649632 856111 1712222 2568333 3424444 5136666 6848888 10273332 13697776 20546664 27395552 41093328 57359437 82186656 86467211 114718874 172078311 172934422 229437748 259401633 344156622 345868844 458875496 518803266 688313244 691737688 917750992 1037606532 1376626488 1383475376 1835501984 2075213064 2753252976 2766950752 4150426128 5506505952 5793303137 8300852256 11586606274 17379909411 23173212548 34759818822 46346425096 69519637644 92692850192 139039275288 185385700384 278078550576 556157101152