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10061197920 = 25345776327
BaseRepresentation
bin10010101111011000…
…11011001001100000
3221222011220210220000
421113230123021200
5131101131313140
64342210220000
7504216525354
oct112754331140
927864823800
1010061197920
1142a3313a04
121b49584600
13c44596767
146b6333464
153dd44aa30
hex257b1b260

10061197920 has 120 divisors (see below), whose sum is σ = 35507690064. Its totient is φ = 2682982656.

The previous prime is 10061197903. The next prime is 10061197943. The reversal of 10061197920 is 2979116001.

10061197920 is a `hidden beast` number, since 10 + 0 + 611 + 9 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 375204 + ... + 401123.

Almost surely, 210061197920 is an apocalyptic number.

10061197920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10061197920 is an abundant number, since it is smaller than the sum of its proper divisors (25446492144).

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

10061197920 is an equidigital number, since it uses as much as digits as its factorization.

10061197920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776354 (or 776337 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

It can be divided in two parts, 1006 and 1197920, that added together give a triangular number (1198926 = T1548).

The spelling of 10061197920 in words is "ten billion, sixty-one million, one hundred ninety-seven thousand, nine hundred twenty".

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 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 776327 1552654 2328981 3105308 3881635 4657962 6210616 6986943 7763270 9315924 11644905 12421232 13973886 15526540 18631848 20960829 23289810 24842464 27947772 31053080 34934715 37263696 41921658 46579620 55895544 62106160 62882487 69869430 74527392 83843316 93159240 104804145 111791088 124212320 125764974 139738860 167686632 186318480 209608290 223582176 251529948 279477720 314412435 335373264 372636960 419216580 503059896 558955440 628824870 670746528 838433160 1006119792 1117910880 1257649740 1676866320 2012239584 2515299480 3353732640 5030598960 10061197920