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95252692608 = 273422694049
BaseRepresentation
bin101100010110110000…
…0001011111010000000
3100002212022202010210000
41120231200023322000
53030034142130413
6111431455440000
76611310346113
oct1305540137200
9302768663700
1095252692608
113743a730867
1216563b26000
138ca0127008
14487877a57a
15272759a073
hex162d80be80

95252692608 has 160 divisors (see below), whose sum is σ = 283665442500. Its totient is φ = 31729065984.

The previous prime is 95252692607. The next prime is 95252692631. The reversal of 95252692608 is 80629625259.

95252692608 is a `hidden beast` number, since 9 + 5 + 2 + 5 + 26 + 9 + 2 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79212976704 + 16039715904 = 281448^2 + 126648^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (95252692607) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23522968 + ... + 23527016.

Almost surely, 295252692608 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 95252692608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141832721250).

95252692608 is an abundant number, since it is smaller than the sum of its proper divisors (188412749892).

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

95252692608 is a wasteful number, since it uses less digits than its factorization.

95252692608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 95252692608 in words is "ninety-five billion, two hundred fifty-two million, six hundred ninety-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2269 2592 3456 4049 4538 5184 6807 8098 9076 10368 12147 13614 16196 18152 20421 24294 27228 32392 36304 36441 40842 48588 54456 61263 64784 72608 72882 81684 97176 108912 109323 122526 129568 145216 145764 163368 183789 194352 217824 218646 245052 259136 290432 291528 326736 327969 367578 388704 435648 437292 490104 518272 583056 653472 655938 735156 777408 871296 874584 980208 1166112 1306944 1311876 1470312 1554816 1749168 1960416 2332224 2613888 2623752 2940624 3498336 3920832 4664448 5247504 5881248 6996672 7841664 9187181 10495008 11762496 13993344 18374362 20990016 23524992 27561543 36748724 41980032 55123086 73497448 82684629 110246172 146994896 165369258 220492344 248053887 293989792 330738516 440984688 496107774 587979584 661477032 744161661 881969376 992215548 1175959168 1322954064 1488323322 1763938752 1984431096 2645908128 2976646644 3527877504 3968862192 5291816256 5953293288 7937724384 10583632512 11906586576 15875448768 23813173152 31750897536 47626346304 95252692608