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1156401446032 = 247371999139597
BaseRepresentation
bin10000110100111110111…
…001011011110010010000
311002112212121100002110101
4100310332321123302100
5122421302232233112
62243124332142144
7146355464052160
oct20647671336220
94075777302411
101156401446032
11406477518208
12168150607954
1385081b40591
143dd820665a0
152013232a757
hex10d3ee5bc90

1156401446032 has 80 divisors (see below), whose sum is σ = 2631143104000. Its totient is φ = 481961332224.

The previous prime is 1156401446003. The next prime is 1156401446051. The reversal of 1156401446032 is 2306441046511.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 1156401445982 and 1156401446000.

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, 8214058 + ... + 8353654.

It is an arithmetic number, because the mean of its divisors is an integer number (32889288800).

Almost surely, 21156401446032 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 1156401446032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315571552000).

1156401446032 is an abundant number, since it is smaller than the sum of its proper divisors (1474741657968).

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

1156401446032 is a wasteful number, since it uses less digits than its factorization.

1156401446032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141648 (or 141642 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 1156401446032 in words is "one trillion, one hundred fifty-six billion, four hundred one million, four hundred forty-six thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 1999 2072 3998 4144 7996 13993 15992 27986 31984 55972 73963 111944 139597 147926 223888 279194 295852 517741 558388 591704 977179 1035482 1116776 1183408 1954358 2070964 2233552 3908716 4141928 5165089 7817432 8283856 10330178 15634864 20660356 36155623 41320712 72311246 82641424 144622492 279054403 289244984 558108806 578489968 1116217612 1953380821 2232435224 3906761642 4464870448 7813523284 10325012911 15627046568 20650025822 31254093136 41300051644 72275090377 82600103288 144550180754 165200206576 289100361508 578200723016 1156401446032