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73680255792 = 243211133578101
BaseRepresentation
bin100010010011110101…
…1110111101100110000
321001011220101210201200
41010213223313230300
52201344121141132
653503115331200
75215602561243
oct1044753675460
9231156353650
1073680255792
112927a646790
1212343450b00
136c42a473c0
1437cd6d725a
151db3776d7c
hex1127af7b30

73680255792 has 120 divisors (see below), whose sum is σ = 242251817808. Its totient is φ = 20609856000.

The previous prime is 73680255787. The next prime is 73680255797. The reversal of 73680255792 is 29755208637.

73680255792 is a `hidden beast` number, since 7 + 3 + 6 + 80 + 2 + 557 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (73680255787) and next prime (73680255797).

It is not an unprimeable number, because it can be changed into a prime (73680255797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1768459 + ... + 1809642.

Almost surely, 273680255792 is an apocalyptic number.

73680255792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73680255792 is an abundant number, since it is smaller than the sum of its proper divisors (168571562016).

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

73680255792 is a wasteful number, since it uses less digits than its factorization.

73680255792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578139 (or 3578130 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 73680255792 in words is "seventy-three billion, six hundred eighty million, two hundred fifty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 20592 3578101 7156202 10734303 14312404 21468606 28624808 32202909 39359111 42937212 46515313 57249616 64405818 78718222 85874424 93030626 118077333 128811636 139545939 157436444 171748848 186061252 236154666 257623272 279091878 314872888 354231999 372122504 418637817 472309332 511668443 515246544 558183756 629745776 708463998 744245008 837275634 944618664 1023336886 1116367512 1416927996 1535005329 1674551268 1889237328 2046673772 2232735024 2833855992 3070010658 3349102536 4093347544 4605015987 5667711984 6140021316 6698205072 8186695088 9210031974 12280042632 18420063948 24560085264 36840127896 73680255792