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193129691520 = 2735100588381
BaseRepresentation
bin1011001111011101101…
…1010011100110000000
3200110111112120212000210
42303313123103212000
511131012200112040
6224420023314120
716644635202063
oct2636733234600
9613445525023
10193129691520
11749a6748807
123151a8ab940
131529ab5449c
1494c18848da
155055227480
hex2cf76d3980

193129691520 has 64 divisors (see below), whose sum is σ = 615600897840. Its totient is φ = 51501250560.

The previous prime is 193129691453. The next prime is 193129691539. The reversal of 193129691520 is 25196921391.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1931296915202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 193129691520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50292271 + ... + 50296110.

Almost surely, 2193129691520 is an apocalyptic number.

193129691520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193129691520 is an abundant number, since it is smaller than the sum of its proper divisors (422471206320).

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

193129691520 is a wasteful number, since it uses less digits than its factorization.

193129691520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100588403 (or 100588391 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 48.

The spelling of 193129691520 in words is "one hundred ninety-three billion, one hundred twenty-nine million, six hundred ninety-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 100588381 201176762 301765143 402353524 502941905 603530286 804707048 1005883810 1207060572 1508825715 1609414096 2011767620 2414121144 3017651430 3218828192 4023535240 4828242288 6035302860 6437656384 8047070480 9656484576 12070605720 12875312768 16094140960 19312969152 24141211440 32188281920 38625938304 48282422880 64376563840 96564845760 193129691520