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157434673856 = 2617241160017
BaseRepresentation
bin1001001010011111010…
…1100111101011000000
3120001100220010002002112
42102213311213223000
510034411234030411
6200154031234452
714242243435145
oct2224765475300
9501326102075
10157434673856
1160849850709
1226618678a28
1311acc947165
147896d3a3cc
15416665ab8b
hex24a7d67ac0

157434673856 has 56 divisors (see below), whose sum is σ = 330929168976. Its totient is φ = 74054942720.

The previous prime is 157434673849. The next prime is 157434673861. The reversal of 157434673856 is 658376434751.

157434673856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 157434673795 and 157434673804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2593160 + ... + 2653176.

It is an arithmetic number, because the mean of its divisors is an integer number (5909449446).

Almost surely, 2157434673856 is an apocalyptic number.

157434673856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

157434673856 is an abundant number, since it is smaller than the sum of its proper divisors (173494495120).

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

157434673856 is a wasteful number, since it uses less digits than its factorization.

157434673856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62457 (or 62447 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 59.

The spelling of 157434673856 in words is "one hundred fifty-seven billion, four hundred thirty-four million, six hundred seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 2411 4822 9644 19288 38576 40987 60017 77152 81974 120034 154304 163948 240068 327896 480136 655792 960272 1020289 1311584 1920544 2040578 2623168 3841088 4081156 8162312 16324624 32649248 65298496 144700987 289401974 578803948 1157607896 2315215792 2459916779 4630431584 4919833558 9260863168 9839667116 19679334232 39358668464 78717336928 157434673856