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75693795420 = 223516711176763
BaseRepresentation
bin100011001111110110…
…0111010100001011100
321020101020020012211110
41012133230322201130
52220010102423140
654435004422020
75316522434205
oct1063754724134
9236336205743
1075693795420
112a1131a0921
1212805847910
1371a3c52479
143940cb85ac
151e80411380
hex119fb3a85c

75693795420 has 96 divisors (see below), whose sum is σ = 213434178048. Its totient is φ = 20043217152.

The previous prime is 75693795403. The next prime is 75693795427. The reversal of 75693795420 is 2459739657.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75693795427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11188959 + ... + 11195721.

It is an arithmetic number, because the mean of its divisors is an integer number (2223272688).

Almost surely, 275693795420 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 75693795420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106717089024).

75693795420 is an abundant number, since it is smaller than the sum of its proper divisors (137740382628).

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

75693795420 is a wasteful number, since it uses less digits than its factorization.

75693795420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8059 (or 8057 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 57.

The spelling of 75693795420 in words is "seventy-five billion, six hundred ninety-three million, seven hundred ninety-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1117 1670 2004 2234 2505 3340 3351 4468 5010 5585 6702 6763 10020 11170 13404 13526 16755 20289 22340 27052 33510 33815 40578 67020 67630 81156 101445 135260 186539 202890 373078 405780 559617 746156 932695 1119234 1129421 1865390 2238468 2258842 2798085 3388263 3730780 4517684 5596170 5647105 6776526 7554271 11192340 11294210 13553052 15108542 16941315 22588420 22662813 30217084 33882630 37771355 45325626 67765260 75542710 90651252 113314065 151085420 226628130 453256260 1261563257 2523126514 3784689771 5046253028 6307816285 7569379542 12615632570 15138759084 18923448855 25231265140 37846897710 75693795420