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72468992258390 = 257133116315760193
BaseRepresentation
bin10000011110100100000000…
…100010100111000101010110
3100111120222010200010212000202
4100132210000202213011112
533444312444004232030
6414043443452140502
721156466120405430
oct2036440042470526
9314528120125022
1072468992258390
11210aaa2195a172
128164b86a67732
133158a48305c30
1413c7737329650
1585a1412bc745
hex41e9008a7156

72468992258390 has 128 divisors (see below), whose sum is σ = 166742348193792. Its totient is φ = 22059225538560.

The previous prime is 72468992258363. The next prime is 72468992258407. The reversal of 72468992258390 is 9385229986427.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3281867 + ... + 12478326.

It is an arithmetic number, because the mean of its divisors is an integer number (1302674595264).

Almost surely, 272468992258390 is an apocalyptic number.

72468992258390 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72468992258390 is an abundant number, since it is smaller than the sum of its proper divisors (94273355935402).

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

72468992258390 is a wasteful number, since it uses less digits than its factorization.

72468992258390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15760414.

The product of its (nonzero) digits is 940584960, while the sum is 74.

The spelling of 72468992258390 in words is "seventy-two trillion, four hundred sixty-eight billion, nine hundred ninety-two million, two hundred fifty-eight thousand, three hundred ninety".

Divisors: 1 2 5 7 10 13 14 26 31 35 62 65 70 91 130 155 163 182 217 310 326 403 434 455 806 815 910 1085 1141 1630 2015 2119 2170 2282 2821 4030 4238 5053 5642 5705 10106 10595 11410 14105 14833 21190 25265 28210 29666 35371 50530 65689 70742 74165 131378 148330 176855 328445 353710 459823 656890 919646 2299115 4598230 15760193 31520386 78800965 110321351 157601930 204882509 220642702 409765018 488565983 551606755 977131966 1024412545 1103213510 1434177563 2048825090 2442829915 2568911459 2868355126 3419961881 4885659830 5137822918 6351357779 6839923762 7170887815 12702715558 12844557295 14341775630 17099809405 17982380213 25689114590 31756788895 33395848967 34199618810 35964760426 44459504453 63513577790 66791697934 79636255229 88919008906 89911901065 159272510458 166979244835 179823802130 222297522265 233770942769 333958489670 398181276145 444595044530 467541885538 557453786603 796362552290 1035271317977 1114907573206 1168854713845 2070542635954 2337709427690 2787268933015 5176356589885 5574537866030 7246899225839 10352713179770 14493798451678 36234496129195 72468992258390