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125506443232 = 2547673074057
BaseRepresentation
bin111010011100011000…
…1000101011111100000
3102222221202111220120101
41310320301011133200
54024014122140412
6133353514352144
712032111110522
oct1647061053740
9388852456511
10125506443232
114925512a455
12203a7a2b654
13bab1c459c1
146108799a12
1533e85e9457
hex1d38c457e0

125506443232 has 96 divisors (see below), whose sum is σ = 257012034048. Its totient is φ = 60289422336.

The previous prime is 125506443197. The next prime is 125506443241. The reversal of 125506443232 is 232344605521.

It is a junction number, because it is equal to n+sod(n) for n = 125506443191 and 125506443200.

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, 30933748 + ... + 30937804.

It is an arithmetic number, because the mean of its divisors is an integer number (2677208688).

Almost surely, 2125506443232 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 125506443232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128506017024).

125506443232 is an abundant number, since it is smaller than the sum of its proper divisors (131505590816).

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

125506443232 is a wasteful number, since it uses less digits than its factorization.

125506443232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 125506443232 in words is "one hundred twenty-five billion, five hundred six million, four hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 47 67 94 134 188 268 307 376 536 614 752 1072 1228 1504 2144 2456 3149 4057 4912 6298 8114 9824 12596 14429 16228 20569 25192 28858 32456 41138 50384 57716 64912 82276 100768 115432 129824 164552 190679 230864 271819 329104 381358 461728 543638 658208 762716 966743 1087276 1245499 1525432 1933486 2174552 2490998 3050864 3866972 4349104 4981996 6101728 7733944 8698208 9963992 12775493 15467888 19927984 25550986 30935776 39855968 51101972 58538453 83448433 102203944 117076906 166896866 204407888 234153812 333793732 408815776 468307624 667587464 936615248 1335174928 1873230496 2670349856 3922076351 7844152702 15688305404 31376610808 62753221616 125506443232