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72743514506274 = 23193767192566747
BaseRepresentation
bin10000100010100011101011…
…010101111000010000100010
3100112120012201121011222021010
4100202203223111320100202
534013312204203200044
6414413524220441350
721215355050123313
oct2042435325702042
9315505647158233
1072743514506274
11211a6395579187
1281aa21b9a9256
1331788b7935871
1413d6b3a88060a
1586235bd87bb9
hex4228eb578422

72743514506274 has 64 divisors (see below), whose sum is σ = 157306744627200. Its totient is φ = 22347445917888.

The previous prime is 72743514506251. The next prime is 72743514506297. The reversal of 72743514506274 is 47260541534727.

It is an interprime number because it is at equal distance from previous prime (72743514506251) and next prime (72743514506297).

It is a Harshad number since it is a multiple of its sum of digits (57).

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 31 ways as a sum of consecutive naturals, for example, 27057369 + ... + 29624115.

It is an arithmetic number, because the mean of its divisors is an integer number (2457917884800).

Almost surely, 272743514506274 is an apocalyptic number.

72743514506274 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

72743514506274 is an abundant number, since it is smaller than the sum of its proper divisors (84563230120926).

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

72743514506274 is a wasteful number, since it uses less digits than its factorization.

72743514506274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573527.

The product of its (nonzero) digits is 39513600, while the sum is 57.

The spelling of 72743514506274 in words is "seventy-two trillion, seven hundred forty-three billion, five hundred fourteen million, five hundred six thousand, two hundred seventy-four".

Divisors: 1 2 3 6 19 37 38 57 74 111 114 222 703 1406 2109 4218 6719 13438 20157 40314 127661 248603 255322 382983 497206 745809 765966 1491618 2566747 4723457 5133494 7700241 9446914 14170371 15400482 28340742 48768193 94969639 97536386 146304579 189939278 284908917 292609158 569817834 1804423141 3608846282 5413269423 10826538846 17245973093 34491946186 51737919279 103475838558 327673488767 638101004441 655346977534 983020466301 1276202008882 1914303013323 1966040932602 3828606026646 12123919084379 24247838168758 36371757253137 72743514506274