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156042272256 = 2931313757041
BaseRepresentation
bin1001000101010011011…
…0000001111000000000
3112220202212001202011220
42101110312001320000
510024033310203011
6155403531235040
714162605300233
oct2212466017000
9486685052156
10156042272256
11601a4881792
12262aa2a8a80
131193a3290a0
1477a404541a
1540d42b7506
hex2454d81e00

156042272256 has 160 divisors (see below), whose sum is σ = 450959449248. Its totient is φ = 47661711360.

The previous prime is 156042272227. The next prime is 156042272263. The reversal of 156042272256 is 652272240651.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2707096 + ... + 2764136.

Almost surely, 2156042272256 is an apocalyptic number.

156042272256 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 156042272256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225479724624).

156042272256 is an abundant number, since it is smaller than the sum of its proper divisors (294917176992).

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

156042272256 is a wasteful number, since it uses less digits than its factorization.

156042272256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57212 (or 57196 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 156042272256 in words is "one hundred fifty-six billion, forty-two million, two hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 137 156 192 208 256 274 312 384 411 416 512 548 624 768 822 832 1096 1248 1536 1644 1664 1781 2192 2496 3288 3328 3562 4384 4992 5343 6576 6656 7124 8768 9984 10686 13152 14248 17536 19968 21372 26304 28496 35072 42744 52608 56992 57041 70144 85488 105216 113984 114082 170976 171123 210432 227968 228164 341952 342246 455936 456328 683904 684492 741533 911872 912656 1367808 1368984 1483066 1825312 2224599 2735616 2737968 2966132 3650624 4449198 5475936 5932264 7301248 7814617 8898396 10951872 11864528 14602496 15629234 17796792 21903744 23443851 23729056 29204992 31258468 35593584 43807488 46887702 47458112 62516936 71187168 87614976 93775404 94916224 101590021 125033872 142374336 187550808 189832448 203180042 250067744 284748672 304770063 375101616 379664896 406360084 500135488 569497344 609540126 750203232 812720168 1000270976 1138994688 1219080252 1500406464 1625440336 2000541952 2438160504 3000812928 3250880672 4001083904 4876321008 6001625856 6501761344 9752642016 12003251712 13003522688 19505284032 26007045376 39010568064 52014090752 78021136128 156042272256