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157380409152 = 2632318813867
BaseRepresentation
bin1001001010010010011…
…0100111011101000000
3120001020010000010220200
42102210212213131000
510034303341043102
6200144412205200
714241014256051
oct2224446473500
9501203003820
10157380409152
116082115784a
1226602469800
1311ac1627875
14788da52728
1541619dc51c
hex24a49a7740

157380409152 has 84 divisors (see below), whose sum is σ = 465654274176. Its totient is φ = 50767868160.

The previous prime is 157380409133. The next prime is 157380409213. The reversal of 157380409152 is 251904083751.

157380409152 is a `hidden beast` number, since 15 + 7 + 3 + 80 + 409 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 157380409098 and 157380409107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4389078 + ... + 4424789.

It is an arithmetic number, because the mean of its divisors is an integer number (5543503264).

Almost surely, 2157380409152 is an apocalyptic number.

157380409152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157380409152 is an abundant number, since it is smaller than the sum of its proper divisors (308273865024).

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

157380409152 is a wasteful number, since it uses less digits than its factorization.

157380409152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8813916 (or 8813903 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 157380409152 in words is "one hundred fifty-seven billion, three hundred eighty million, four hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8928 17856 8813867 17627734 26441601 35255468 52883202 70510936 79324803 105766404 141021872 158649606 211532808 273229877 282043744 317299212 423065616 546459754 564087488 634598424 819689631 846131232 1092919508 1269196848 1639379262 1692262464 2185839016 2459068893 2538393696 3278758524 4371678032 4918137786 5076787392 6557517048 8743356064 9836275572 13115034096 17486712128 19672551144 26230068192 39345102288 52460136384 78690204576 157380409152