Search a number
-
+
74271152004 = 22372251503233
BaseRepresentation
bin100010100101011100…
…1111101011110000100
321002201002021102221120
41011022321331132010
52204101403331004
654041504313540
75236336242600
oct1051271753604
9232632242846
1074271152004
1129553146865
12124893128b0
1370082a632a
143847d90500
151dea5973d9
hex114ae7d784

74271152004 has 72 divisors (see below), whose sum is σ = 202396688928. Its totient is φ = 21135744000.

The previous prime is 74271151961. The next prime is 74271152017. The reversal of 74271152004 is 40025117247.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 104029 + ... + 399204.

It is an arithmetic number, because the mean of its divisors is an integer number (2811065124).

Almost surely, 274271152004 is an apocalyptic number.

It is an amenable number.

74271152004 is an abundant number, since it is smaller than the sum of its proper divisors (128125536924).

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

74271152004 is a wasteful number, since it uses less digits than its factorization.

74271152004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503505 (or 503496 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The spelling of 74271152004 in words is "seventy-four billion, two hundred seventy-one million, one hundred fifty-two thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 251 294 502 588 753 1004 1506 1757 3012 3514 5271 7028 10542 12299 21084 24598 36897 49196 73794 147588 503233 1006466 1509699 2012932 3019398 3522631 6038796 7045262 10567893 14090524 21135786 24658417 42271572 49316834 73975251 98633668 126311483 147950502 252622966 295901004 378934449 505245932 757868898 884180381 1515737796 1768360762 2652541143 3536721524 5305082286 6189262667 10610164572 12378525334 18567788001 24757050668 37135576002 74271152004