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69953902144 = 267247232
BaseRepresentation
bin100000100100110010…
…0111101011001000000
320200120012121102111121
41001021210331121000
52121231144332034
652045242522024
75024344233400
oct1011144753100
9220505542447
1069953902144
1127738177075
1211683506314
13679aa27409
143558856800
151c465571b4
hex104993d640

69953902144 has 63 divisors (see below), whose sum is σ = 161512608267. Its totient is φ = 29973896064.

The previous prime is 69953902127. The next prime is 69953902163. The reversal of 69953902144 is 44120935996.

The square root of 69953902144 is 264488.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 69953902091 and 69953902100.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14808967 + ... + 14813689.

Almost surely, 269953902144 is an apocalyptic number.

69953902144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

69953902144 is the 264488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69953902144

69953902144 is an abundant number, since it is smaller than the sum of its proper divisors (91558706123).

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

69953902144 is an frugal number, since it uses more digits than its factorization.

69953902144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9472 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The spelling of 69953902144 in words is "sixty-nine billion, nine hundred fifty-three million, nine hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 4723 9446 18892 33061 37784 66122 75568 132244 151136 231427 264488 302272 462854 528976 925708 1057952 1851416 2115904 3702832 7405664 14811328 22306729 44613458 89226916 156147103 178453832 312294206 356907664 624588412 713815328 1093029721 1249176824 1427630656 2186059442 2498353648 4372118884 4996707296 8744237768 9993414592 17488475536 34976951072 69953902144