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10139613996960 = 2532571005914087
BaseRepresentation
bin1001001110001101000000…
…0101110010011110100000
31022220100010010121010221200
42103203100011302132200
52312111412140400320
633322024021321200
72064364041626310
oct223432005623640
938810103533850
1010139613996960
11325a205842388
121179160266200
13587213a69b46
14270a8d39b440
15128b4bd18290
hex938d01727a0

10139613996960 has 144 divisors (see below), whose sum is σ = 39544494627456. Its totient is φ = 2317626054144.

The previous prime is 10139613996931. The next prime is 10139613996997. The reversal of 10139613996960 is 6969931693101.

10139613996960 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 9 + 613 + 9 + 9 + 6 + 9 + 6 + 0 = 666.

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

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 502946964 + ... + 502967123.

It is an arithmetic number, because the mean of its divisors is an integer number (274614546024).

Almost surely, 210139613996960 is an apocalyptic number.

10139613996960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10139613996960 is an abundant number, since it is smaller than the sum of its proper divisors (29404880630496).

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

10139613996960 is a wasteful number, since it uses less digits than its factorization.

10139613996960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005914115 (or 1005914104 counting only the distinct ones).

The product of its (nonzero) digits is 12754584, while the sum is 63.

The spelling of 10139613996960 in words is "ten trillion, one hundred thirty-nine billion, six hundred thirteen million, nine hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 1005914087 2011828174 3017742261 4023656348 5029570435 6035484522 7041398609 8047312696 9053226783 10059140870 12070969044 14082797218 15088711305 16094625392 18106453566 20118281740 21124195827 24141938088 28165594436 30177422610 32189250784 35206993045 36212907132 40236563480 42248391654 45266133915 48283876176 56331188872 60354845220 63372587481 70413986090 72425814264 80473126960 84496783308 90532267830 96567752352 105620979135 112662377744 120709690440 126745174962 140827972180 144851628528 160946253920 168993566616 181064535660 211241958270 225324755488 241419380880 253490349924 281655944360 289703257056 316862937405 337987133232 362129071320 422483916540 482838761760 506980699848 563311888720 633725874810 675974266464 724258142640 844967833080 1013961399696 1126623777440 1267451749620 1448516285280 1689935666160 2027922799392 2534903499240 3379871332320 5069806998480 10139613996960