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76645693692 = 22343153143981
BaseRepresentation
bin100011101100001110…
…0000111100011111100
321022211120101122210000
41013120130013203330
52223432244144232
655113251114300
75352231434631
oct1073034074374
9238746348700
1076645693692
112a561550107
1212a305a2990
1372c621a299
1439d14a4188
151ed8c9027c
hex11d87078fc

76645693692 has 120 divisors (see below), whose sum is σ = 210734358912. Its totient is φ = 24257750400.

The previous prime is 76645693669. The next prime is 76645693693. The reversal of 76645693692 is 29639654667.

It is a happy number.

76645693692 is a `hidden beast` number, since 7 + 6 + 6 + 4 + 569 + 3 + 69 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76645693693) 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 39 ways as a sum of consecutive naturals, for example, 460342 + ... + 604322.

Almost surely, 276645693692 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 76645693692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105367179456).

76645693692 is an abundant number, since it is smaller than the sum of its proper divisors (134088665220).

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

76645693692 is a wasteful number, since it uses less digits than its factorization.

76645693692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144081 (or 144070 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 63.

The spelling of 76645693692 in words is "seventy-six billion, six hundred forty-five million, six hundred ninety-three thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 53 54 62 81 93 106 108 124 159 162 186 212 279 318 324 372 477 558 636 837 954 1116 1431 1643 1674 1908 2511 2862 3286 3348 4293 4929 5022 5724 6572 8586 9858 10044 14787 17172 19716 29574 44361 59148 88722 133083 143981 177444 266166 287962 431943 532332 575924 863886 1295829 1727772 2591658 3887487 4463411 5183316 7630993 7774974 8926822 11662461 13390233 15261986 15549948 17853644 22892979 23324922 26780466 30523972 40170699 45785958 46649844 53560932 68678937 80341398 91571916 120512097 137357874 160682796 206036811 236560783 241024194 274715748 361536291 412073622 473121566 482048388 618110433 709682349 723072582 824147244 946243132 1236220866 1419364698 1446145164 2129047047 2472441732 2838729396 4258094094 6387141141 8516188188 12774282282 19161423423 25548564564 38322846846 76645693692