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157898002900 = 225211239600601
BaseRepresentation
bin1001001100001101110…
…1000101000111010100
3120002120011221122001111
42103003131011013110
510041333342043100
6200312022104404
714256600610531
oct2230335050724
9502504848044
10157898002900
1160a67340680
122672787b104
1311b7492ca61
1478dc6a7d88
15419217d6ba
hex24c37451d4

157898002900 has 72 divisors (see below), whose sum is σ = 375352225920. Its totient is φ = 57177120000.

The previous prime is 157898002877. The next prime is 157898002907. The reversal of 157898002900 is 9200898751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157898002907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37401 + ... + 563200.

It is an arithmetic number, because the mean of its divisors is an integer number (5213225360).

Almost surely, 2157898002900 is an apocalyptic number.

157898002900 is a gapful number since it is divisible by the number (10) 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 157898002900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187676112960).

157898002900 is an abundant number, since it is smaller than the sum of its proper divisors (217454223020).

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

157898002900 is a wasteful number, since it uses less digits than its factorization.

157898002900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600865 (or 600858 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 49.

The spelling of 157898002900 in words is "one hundred fifty-seven billion, eight hundred ninety-eight million, two thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 239 275 478 550 956 1100 1195 2390 2629 4780 5258 5975 10516 11950 13145 23900 26290 52580 65725 131450 262900 600601 1201202 2402404 3003005 6006010 6606611 12012020 13213222 15015025 26426444 30030050 33033055 60060100 66066110 132132220 143543639 165165275 287087278 330330550 574174556 660661100 717718195 1435436390 1578980029 2870872780 3157960058 3588590975 6315920116 7177181950 7894900145 14354363900 15789800290 31579600580 39474500725 78949001450 157898002900