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76034753536 = 2107212312
BaseRepresentation
bin100011011010000000…
…1100100010000000000
321021020222210200102211
41012310001210100000
52221204344103121
654532504351504
75331132512200
oct1066401442000
9237228720384
1076034753536
112a2786aa795
121289ba75594
137229790c31
1439742b0400
151ea0310ce1
hex11b4064400

76034753536 has 99 divisors (see below), whose sum is σ = 176954554647. Its totient is φ = 32559851520.

The previous prime is 76034753519. The next prime is 76034753539. The reversal of 76034753536 is 63535743067.

It is a happy number.

The square root of 76034753536 is 275744.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 76034753536.

It is not an unprimeable number, because it can be changed into a prime (76034753539) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61766041 + ... + 61767271.

Almost surely, 276034753536 is an apocalyptic number.

76034753536 is the 275744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76034753536

76034753536 is an abundant number, since it is smaller than the sum of its proper divisors (100919801111).

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

76034753536 is an frugal number, since it uses more digits than its factorization.

76034753536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 49.

Multiplying 76034753536 by its sum of digits (49), we get a square (3725702923264 = 19302082).

76034753536 divided by its sum of digits (49) gives a square (1551729664 = 393922).

The spelling of 76034753536 in words is "seventy-six billion, thirty-four million, seven hundred fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1231 1568 1792 2462 3136 3584 4924 6272 7168 8617 9848 12544 17234 19696 25088 34468 39392 50176 60319 68936 78784 120638 137872 157568 241276 275744 315136 482552 551488 630272 965104 1102976 1260544 1515361 1930208 2205952 3030722 3860416 4411904 6061444 7720832 8823808 10607527 12122888 15441664 21215054 24245776 30883328 42430108 48491552 61766656 74252689 84860216 96983104 148505378 169720432 193966208 297010756 339440864 387932416 594021512 678881728 775864832 1188043024 1357763456 1551729664 2376086048 2715526912 4752172096 5431053824 9504344192 10862107648 19008688384 38017376768 76034753536