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30946419360 = 25355795947
BaseRepresentation
bin11100110100100011…
…001110001010100000
32221212201010222200000
4130310203032022200
51001334240404420
622114441100000
72143611136653
oct346443161240
987781128600
1030946419360
11121404a099a
125bb7a87600
132bc249215c
1416d800989a
15c11c74690
hex7348ce2a0

30946419360 has 144 divisors (see below), whose sum is σ = 109516077216. Its totient is φ = 8252368128.

The previous prime is 30946419349. The next prime is 30946419391. The reversal of 30946419360 is 6391464903.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359094 + ... + 436853.

It is an arithmetic number, because the mean of its divisors is an integer number (760528314).

Almost surely, 230946419360 is an apocalyptic number.

30946419360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30946419360 is an abundant number, since it is smaller than the sum of its proper divisors (78569657856).

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

30946419360 is an equidigital number, since it uses as much as digits as its factorization.

30946419360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795977 (or 795957 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 30946419360 in words is "thirty billion, nine hundred forty-six million, four hundred nineteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3888 4320 4860 6480 7776 9720 12960 19440 38880 795947 1591894 2387841 3183788 3979735 4775682 6367576 7163523 7959470 9551364 11939205 12735152 14327046 15918940 19102728 21490569 23878410 25470304 28654092 31837880 35817615 38205456 42981138 47756820 57308184 63675760 64471707 71635230 76410912 85962276 95513640 107452845 114616368 127351520 128943414 143270460 171924552 191027280 193415121 214905690 229232736 257886828 286540920 322358535 343849104 382054560 386830242 429811380 515773656 573081840 644717070 687698208 773660484 859622760 967075605 1031547312 1146163680 1289434140 1547320968 1719245520 1934151210 2063094624 2578868280 3094641936 3438491040 3868302420 5157736560 6189283872 7736604840 10315473120 15473209680 30946419360