Search a number
-
+
156942956496 = 24331714673181
BaseRepresentation
bin1001001000101010000…
…1110111011111010000
3120000002121212020200110
42102022201313133100
510032404344101441
6200033144121320
714224123055634
oct2221241673720
9500077766613
10156942956496
1160617231127
12264bba66240
1311a51b02041
14784b8dcdc4
1541383cbb16
hex248a8777d0

156942956496 has 160 divisors (see below), whose sum is σ = 425451626496. Its totient is φ = 49791168000.

The previous prime is 156942956479. The next prime is 156942956503. The reversal of 156942956496 is 694659249651.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49336026 + ... + 49339206.

Almost surely, 2156942956496 is an apocalyptic number.

156942956496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156942956496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212725813248).

156942956496 is an abundant number, since it is smaller than the sum of its proper divisors (268508670000).

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

156942956496 is a wasteful number, since it uses less digits than its factorization.

156942956496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761 (or 3755 counting only the distinct ones).

The product of its digits is 125971200, while the sum is 66.

The spelling of 156942956496 in words is "one hundred fifty-six billion, nine hundred forty-two million, nine hundred fifty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 71 93 124 142 186 213 248 284 372 426 467 496 568 744 852 934 1136 1401 1488 1704 1868 2201 2802 3181 3408 3736 4402 5604 6362 6603 7472 8804 9543 11208 12724 13206 14477 17608 19086 22416 25448 26412 28954 33157 35216 38172 43431 50896 52824 57908 66314 76344 86862 98611 99471 105648 115816 132628 152688 173724 197222 198942 225851 231632 265256 295833 347448 394444 397884 451702 530512 591666 677553 694896 788888 795768 903404 1027867 1183332 1355106 1485527 1577776 1591536 1806808 2055734 2366664 2710212 2971054 3083601 3613616 4111468 4456581 4733328 5420424 5942108 6167202 7001381 8222936 8913162 10840848 11884216 12334404 14002762 16445872 17826324 21004143 23768432 24668808 28005524 35652648 42008286 46051337 49337616 56011048 71305296 84016572 92102674 105472417 112022096 138154011 168033144 184205348 210944834 276308022 316417251 336066288 368410696 421889668 552616044 632834502 736821392 843779336 1105232088 1265669004 1687558672 2210464176 2531338008 3269644927 5062676016 6539289854 9808934781 13078579708 19617869562 26157159416 39235739124 52314318832 78471478248 156942956496