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45192213120 = 273523537611
BaseRepresentation
bin101010000101101010…
…100111001010000000
311022122112010021220010
4222011222213022000
51220023201304440
632432213544520
73156622321245
oct520552471200
9138575107803
1045192213120
111819090a66a
128912945140
1343529a0012
142289dc55cc
15129775a580
hexa85aa7280

45192213120 has 64 divisors (see below), whose sum is σ = 144050185440. Its totient is φ = 12051256320.

The previous prime is 45192213119. The next prime is 45192213139. The reversal of 45192213120 is 2131229154.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×451922131202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11766886 + ... + 11770725.

Almost surely, 245192213120 is an apocalyptic number.

45192213120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45192213120 is an abundant number, since it is smaller than the sum of its proper divisors (98857972320).

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

45192213120 is a wasteful number, since it uses less digits than its factorization.

45192213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23537633 (or 23537621 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 45192213120 in words is "forty-five billion, one hundred ninety-two million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 23537611 47075222 70612833 94150444 117688055 141225666 188300888 235376110 282451332 353064165 376601776 470752220 564902664 706128330 753203552 941504440 1129805328 1412256660 1506407104 1883008880 2259610656 2824513320 3012814208 3766017760 4519221312 5649026640 7532035520 9038442624 11298053280 15064071040 22596106560 45192213120