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145691073008 = 24134782917977
BaseRepresentation
bin1000011110101111011…
…1010101100111110000
3111221001110110100020222
42013223313111213300
54341333403314013
6150532441152212
713345234454615
oct2075367254760
9457043410228
10145691073008
11568728a3568
122429b78b668
131097a955910
1470a13c250c
153bca685508
hex21ebdd59f0

145691073008 has 80 divisors (see below), whose sum is σ = 310849687680. Its totient is φ = 65728309248.

The previous prime is 145691073007. The next prime is 145691073029. The reversal of 145691073008 is 800370196541.

It is a self number, because there is not a number n which added to its sum of digits gives 145691073008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145691073007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8095316 + ... + 8113292.

It is an arithmetic number, because the mean of its divisors is an integer number (3885621096).

Almost surely, 2145691073008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145691073008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155424843840).

145691073008 is an abundant number, since it is smaller than the sum of its proper divisors (165158614672).

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

145691073008 is a wasteful number, since it uses less digits than its factorization.

145691073008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18874 (or 18868 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 145691073008 in words is "one hundred forty-five billion, six hundred ninety-one million, seventy-three thousand, eight".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 611 752 829 1222 1658 2444 3316 4888 6632 9776 10777 13264 17977 21554 35954 38963 43108 71908 77926 86216 143816 155852 172432 233701 287632 311704 467402 506519 623408 844919 934804 1013038 1689838 1869608 2026076 3379676 3739216 4052152 6759352 8104304 10983947 13518704 14902933 21967894 29805866 43935788 59611732 87871576 119223464 175743152 193738129 238446928 387476258 700437851 774952516 1400875702 1549905032 2801751404 3099810064 5603502808 9105692063 11207005616 18211384126 36422768252 72845536504 145691073008