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145081991392 = 25135312015479
BaseRepresentation
bin1000011100011110001…
…1111000000011100000
3111212111000100210100121
42013013203320003200
54334111442211032
6150352202330024
713324160402512
oct2070743700340
9455430323317
10145081991392
1156590002528
122414b7b9914
13108b16ca4b0
147044553bb2
153b91e71a97
hex21c78f80e0

145081991392 has 96 divisors (see below), whose sum is σ = 313723730880. Its totient is φ = 65630822400.

The previous prime is 145081991371. The next prime is 145081991449. The reversal of 145081991392 is 293199180541.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26476909 + ... + 26482387.

It is an arithmetic number, because the mean of its divisors is an integer number (3267955530).

Almost surely, 2145081991392 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 145081991392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156861865440).

145081991392 is an abundant number, since it is smaller than the sum of its proper divisors (168641739488).

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

145081991392 is a wasteful number, since it uses less digits than its factorization.

145081991392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6756 (or 6748 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 52.

The spelling of 145081991392 in words is "one hundred forty-five billion, eighty-one million, nine hundred ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 208 212 416 424 689 848 1201 1378 1696 2402 2756 4804 5479 5512 9608 10958 11024 15613 19216 21916 22048 31226 38432 43832 62452 63653 71227 87664 124904 127306 142454 175328 249808 254612 284908 290387 499616 509224 569816 580774 827489 1018448 1139632 1161548 1654978 2036896 2279264 2323096 3309956 3775031 4646192 6580279 6619912 7550062 9292384 13160558 13239824 15100124 26321116 26479648 30200248 52642232 60400496 85543627 105284464 120800992 171087254 210568928 342174508 348754787 684349016 697509574 1368698032 1395019148 2737396064 2790038296 4533812231 5580076592 9067624462 11160153184 18135248924 36270497848 72540995696 145081991392