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145425641632 = 25236123913553
BaseRepresentation
bin1000011101110000001…
…0110011000010100000
3111220100222000000212021
42013130002303002200
54340312431013012
6150450240111224
713335532362325
oct2073402630240
9456328000767
10145425641632
1156746a8aa97
1224226905514
131093796c42b
14707804ab4c
153bb2204007
hex21dc0b30a0

145425641632 has 96 divisors (see below), whose sum is σ = 304945482240. Its totient is φ = 68119941120.

The previous prime is 145425641617. The next prime is 145425641633. The reversal of 145425641632 is 236146524541.

It is a super-2 number, since 2×1454256416322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145425641633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10723368 + ... + 10736920.

It is an arithmetic number, because the mean of its divisors is an integer number (3176515440).

Almost surely, 2145425641632 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 145425641632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152472741120).

145425641632 is an abundant number, since it is smaller than the sum of its proper divisors (159519840608).

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

145425641632 is a wasteful number, since it uses less digits than its factorization.

145425641632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13886 (or 13878 counting only the distinct ones).

The product of its digits is 691200, while the sum is 43.

The spelling of 145425641632 in words is "one hundred forty-five billion, four hundred twenty-five million, six hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 61 92 122 184 239 244 368 478 488 736 956 976 1403 1912 1952 2806 3824 5497 5612 7648 10994 11224 13553 14579 21988 22448 27106 29158 43976 44896 54212 58316 87952 108424 116632 175904 216848 233264 311719 335317 433696 466528 623438 670634 826733 1246876 1341268 1653466 2493752 2682536 3239167 3306932 4987504 5365072 6478334 6613864 9975008 10730144 12956668 13227728 19014859 25913336 26455456 38029718 51826672 74500841 76059436 103653344 149001682 152118872 197589187 298003364 304237744 395178374 596006728 608475488 790356748 1192013456 1580713496 2384026912 3161426992 4544551301 6322853984 9089102602 18178205204 36356410408 72712820816 145425641632