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190696005120 = 293559420851
BaseRepresentation
bin1011000110011001011…
…1100001111000000000
3200020012221011202220110
42301212113201320000
511111021134130440
6223334325111320
716530424204335
oct2614627417000
9606187152813
10190696005120
1173967a18135
1230b5b858540
1314ca08a296a
14933057698c
154e6174a080
hex2c665e1e00

190696005120 has 160 divisors (see below), whose sum is σ = 619965498240. Its totient is φ = 49990246400.

The previous prime is 190696005119. The next prime is 190696005133. The reversal of 190696005120 is 21500696091.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242695 + ... + 663545.

It is an arithmetic number, because the mean of its divisors is an integer number (3874784364).

Almost surely, 2190696005120 is an apocalyptic number.

190696005120 is a gapful number since it is divisible by the number (10) 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 190696005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309982749120).

190696005120 is an abundant number, since it is smaller than the sum of its proper divisors (429269493120).

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

190696005120 is an equidigital number, since it uses as much as digits as its factorization.

190696005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420936 (or 420920 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The spelling of 190696005120 in words is "one hundred ninety billion, six hundred ninety-six million, five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 128 160 177 192 236 240 256 295 320 354 384 472 480 512 590 640 708 768 885 944 960 1180 1280 1416 1536 1770 1888 1920 2360 2560 2832 3540 3776 3840 4720 5664 7080 7552 7680 9440 11328 14160 15104 18880 22656 28320 30208 37760 45312 56640 75520 90624 113280 151040 226560 420851 453120 841702 1262553 1683404 2104255 2525106 3366808 4208510 5050212 6312765 6733616 8417020 10100424 12625530 13467232 16834040 20200848 24830209 25251060 26934464 33668080 40401696 49660418 50502120 53868928 67336160 74490627 80803392 99320836 101004240 107737856 124151045 134672320 148981254 161606784 198641672 202008480 215475712 248302090 269344640 297962508 323213568 372453135 397283344 404016960 496604180 538689280 595925016 646427136 744906270 794566688 808033920 993208360 1077378560 1191850032 1489812540 1589133376 1616067840 1986416720 2383700064 2979625080 3178266752 3232135680 3972833440 4767400128 5959250160 6356533504 7945666880 9534800256 11918500320 12713067008 15891333760 19069600512 23837000640 31782667520 38139201024 47674001280 63565335040 95348002560 190696005120