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1973956029696 = 28327122393107
BaseRepresentation
bin11100101110011000111…
…100101010110100000000
320222201010101112002010100
4130232120330222310000
5224320130220422241
64110453424202400
7262420320260340
oct34563074526400
96881111462110
101973956029696
116a1171799492
1227a695a69400
131141b2966c61
146b77b9d0d20
15365318409b6
hex1cb98f2ad00

1973956029696 has 108 divisors (see below), whose sum is σ = 6504459331552. Its totient is φ = 563987432448.

The previous prime is 1973956029691. The next prime is 1973956029713. The reversal of 1973956029696 is 6969206593791.

1973956029696 is a `hidden beast` number, since 1 + 9 + 7 + 3 + 9 + 5 + 602 + 9 + 6 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1973956029691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61180426 + ... + 61212681.

Almost surely, 21973956029696 is an apocalyptic number.

1973956029696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1973956029696 is an abundant number, since it is smaller than the sum of its proper divisors (4530503301856).

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

1973956029696 is a wasteful number, since it uses less digits than its factorization.

1973956029696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122393136 (or 122393119 counting only the distinct ones).

The product of its (nonzero) digits is 297606960, while the sum is 72.

The spelling of 1973956029696 in words is "one trillion, nine hundred seventy-three billion, nine hundred fifty-six million, twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 122393107 244786214 367179321 489572428 734358642 856751749 979144856 1101537963 1468717284 1713503498 1958289712 2203075926 2570255247 2937434568 3427006996 3916579424 4406151852 5140510494 5874869136 6854013992 7710765741 7833158848 8812303704 10281020988 11749738272 13708027984 15421531482 15666317696 17624607408 20562041976 23499476544 27416055968 30843062964 31332635392 35249214816 41124083952 46998953088 54832111936 61686125928 70498429632 82248167904 93997906176 109664223872 123372251856 140996859264 164496335808 219328447744 246744503712 281993718528 328992671616 493489007424 657985343232 986978014848 1973956029696