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107935451520 = 2735134324337
BaseRepresentation
bin110010010000101110…
…1000100100110000000
3101022121012121001021120
41210201131010212000
53232022433422040
6121330155152240
710540512125451
oct1444135044600
9338535531246
10107935451520
11418588262a6
1218b03445680
13a2418724a0
14531cd25128
152c1ac347d0
hex1921744980

107935451520 has 128 divisors (see below), whose sum is σ = 370509279840. Its totient is φ = 26568720384.

The previous prime is 107935451453. The next prime is 107935451527. The reversal of 107935451520 is 25154539701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107935451527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2137209 + ... + 2187128.

Almost surely, 2107935451520 is an apocalyptic number.

107935451520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107935451520 is an abundant number, since it is smaller than the sum of its proper divisors (262573828320).

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

107935451520 is a wasteful number, since it uses less digits than its factorization.

107935451520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324372 (or 4324360 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 42.

The spelling of 107935451520 in words is "one hundred seven billion, nine hundred thirty-five million, four hundred fifty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 4324337 8648674 12973011 17297348 21621685 25946022 34594696 43243370 51892044 56216381 64865055 69189392 86486740 103784088 112432762 129730110 138378784 168649143 172973480 207568176 224865524 259460220 276757568 281081905 337298286 345946960 415136352 449731048 518920440 553515136 562163810 674596572 691893920 830272704 843245715 899462096 1037840880 1124327620 1349193144 1383787840 1660545408 1686491430 1798924192 2075681760 2248655240 2698386288 2767575680 3372982860 3597848384 4151363520 4497310480 5396772576 6745965720 7195696768 8302727040 8994620960 10793545152 13491931440 17989241920 21587090304 26983862880 35978483840 53967725760 107935451520