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30397125960 = 2334541922391
BaseRepresentation
bin11100010011110011…
…110101010101001000
32220110102112222210000
4130103303311111020
5444223131012320
621544135523000
72124161210325
oct342363652510
986412488700
1030397125960
1111989426703
125a83b29460
132b3573b486
1416850a1b4c
15bcd920c90
hex713cf5548

30397125960 has 160 divisors (see below), whose sum is σ = 102416529600. Its totient is φ = 8086193280.

The previous prime is 30397125931. The next prime is 30397126007. The reversal of 30397125960 is 6952179303.

30397125960 is a `hidden beast` number, since 3 + 0 + 397 + 1 + 259 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1346365 + ... + 1368755.

It is an arithmetic number, because the mean of its divisors is an integer number (640103310).

Almost surely, 230397125960 is an apocalyptic number.

30397125960 is a gapful number since it is divisible by the number (30) 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 30397125960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51208264800).

30397125960 is an abundant number, since it is smaller than the sum of its proper divisors (72019403640).

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

30397125960 is a wasteful number, since it uses less digits than its factorization.

30397125960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22833 (or 22820 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 30397125960 in words is "thirty billion, three hundred ninety-seven million, one hundred twenty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 419 540 648 810 838 1080 1257 1620 1676 2095 2514 3240 3352 3771 4190 5028 6285 7542 8380 10056 11313 12570 15084 16760 18855 22391 22626 25140 30168 33939 37710 44782 45252 50280 56565 67173 67878 75420 89564 90504 111955 113130 134346 135756 150840 169695 179128 201519 223910 226260 268692 271512 335865 339390 403038 447820 452520 537384 604557 671730 678780 806076 895640 1007595 1209114 1343460 1357560 1612152 1813671 2015190 2418228 2686920 3022785 3627342 4030380 4836456 6045570 7254684 8060760 9068355 9381829 12091140 14509368 18136710 18763658 24182280 28145487 36273420 37527316 46909145 56290974 72546840 75054632 84436461 93818290 112581948 140727435 168872922 187636580 225163896 253309383 281454870 337745844 375273160 422182305 506618766 562909740 675491688 759928149 844364610 1013237532 1125819480 1266546915 1519856298 1688729220 2026475064 2533093830 3039712596 3377458440 3799640745 5066187660 6079425192 7599281490 10132375320 15198562980 30397125960