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76940154624 = 283601166693
BaseRepresentation
bin100011110100111111…
…1011001011100000000
321100121002110211020110
41013221333121130000
52230033134421444
655202410311320
75362435344414
oct1075177313400
9240532424213
1076940154624
112a6a2790a53
1212ab3128540
137342228b18
143a1c634d44
152004a57cb9
hex11e9fd9700

76940154624 has 72 divisors (see below), whose sum is σ = 205114966672. Its totient is φ = 25603891200.

The previous prime is 76940154623. The next prime is 76940154647. The reversal of 76940154624 is 42645104967.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76940154623) 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 7 ways as a sum of consecutive naturals, for example, 378222 + ... + 544914.

Almost surely, 276940154624 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 76940154624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102557483336).

76940154624 is an abundant number, since it is smaller than the sum of its proper divisors (128174812048).

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

76940154624 is a wasteful number, since it uses less digits than its factorization.

76940154624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167313 (or 167299 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 76940154624 in words is "seventy-six billion, nine hundred forty million, one hundred fifty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 601 768 1202 1803 2404 3606 4808 7212 9616 14424 19232 28848 38464 57696 76928 115392 153856 166693 230784 333386 461568 500079 666772 1000158 1333544 2000316 2667088 4000632 5334176 8001264 10668352 16002528 21336704 32005056 42673408 64010112 100182493 128020224 200364986 300547479 400729972 601094958 801459944 1202189916 1602919888 2404379832 3205839776 4808759664 6411679552 9617519328 12823359104 19235038656 25646718208 38470077312 76940154624