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90472497948 = 2232717107197371
BaseRepresentation
bin101010001000010010…
…1001100001100011100
322122112011222002110100
41110100211030030130
52440241424413243
6105321255341100
76351664354410
oct1242045141434
9278464862410
1090472497948
1135407403868
121564b081790
1386ba998371
144543974d40
152547ab10d3
hex151094c31c

90472497948 has 144 divisors (see below), whose sum is σ = 279327170304. Its totient is φ = 24101245440.

The previous prime is 90472497937. The next prime is 90472497959. The reversal of 90472497948 is 84979427409.

90472497948 is a `hidden beast` number, since 90 + 472 + 4 + 9 + 79 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (90472497937) and next prime (90472497959).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359703 + ... + 557073.

It is an arithmetic number, because the mean of its divisors is an integer number (1939772016).

Almost surely, 290472497948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90472497948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139663585152).

90472497948 is an abundant number, since it is smaller than the sum of its proper divisors (188854672356).

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

90472497948 is a wasteful number, since it uses less digits than its factorization.

90472497948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197512 (or 197507 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 90472497948 in words is "ninety billion, four hundred seventy-two million, four hundred ninety-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 107 119 126 153 204 214 238 252 306 321 357 428 476 612 642 714 749 963 1071 1284 1428 1498 1819 1926 2142 2247 2996 3638 3852 4284 4494 5457 6741 7276 8988 10914 12733 13482 16371 21828 25466 26964 32742 38199 50932 65484 76398 114597 152796 197371 229194 394742 458388 592113 789484 1184226 1381597 1776339 2368452 2763194 3355307 3552678 4144791 5526388 6710614 7105356 8289582 10065921 12434373 13421228 16579164 20131842 21118697 23487149 24868746 30197763 40263684 42237394 46974298 49737492 60395526 63356091 70461447 84474788 93948596 120791052 126712182 140922894 147830879 190068273 211384341 253424364 281845788 295661758 359017849 380136546 422768682 443492637 591323516 718035698 760273092 845537364 886985274 1077053547 1330477911 1436071396 1773970548 2154107094 2513124943 2660955822 3231160641 4308214188 5026249886 5321911644 6462321282 7539374829 10052499772 12924642564 15078749658 22618124487 30157499316 45236248974 90472497948