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145651453536 = 25359242310613
BaseRepresentation
bin1000011110100110000…
…0001100111001100000
3111220221200220110120010
42013221200030321200
54341243233003121
6150524504044520
713344243633141
oct2075140147140
9456850813503
10145651453536
11568524a28a6
122428a463740
1310972693344
14709a02bac8
153bc6e5b376
hex21e980ce60

145651453536 has 96 divisors (see below), whose sum is σ = 389012440320. Its totient is φ = 47703401984.

The previous prime is 145651453529. The next prime is 145651453561. The reversal of 145651453536 is 635354156541.

145651453536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 13718566 + ... + 13729178.

It is an arithmetic number, because the mean of its divisors is an integer number (4052212920).

Almost surely, 2145651453536 is an apocalyptic number.

145651453536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145651453536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194506220160).

145651453536 is an abundant number, since it is smaller than the sum of its proper divisors (243360986784).

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

145651453536 is a wasteful number, since it uses less digits than its factorization.

145651453536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13108 (or 13100 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 48.

The spelling of 145651453536 in words is "one hundred forty-five billion, six hundred fifty-one million, four hundred fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2423 2832 4846 5664 7269 9692 10613 14538 19384 21226 29076 31839 38768 42452 58152 63678 77536 84904 116304 127356 142957 169808 232608 254712 285914 339616 428871 509424 571828 626167 857742 1018848 1143656 1252334 1715484 1878501 2287312 2504668 3430968 3757002 4574624 5009336 6861936 7514004 10018672 13723872 15028008 20037344 25715299 30056016 51430598 60112032 77145897 102861196 154291794 205722392 308583588 411444784 617167176 822889568 1234334352 1517202641 2468668704 3034405282 4551607923 6068810564 9103215846 12137621128 18206431692 24275242256 36412863384 48550484512 72825726768 145651453536