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32380106148 = 223213371869953
BaseRepresentation
bin11110001010000000…
…010011010110100100
310002120121212211012200
4132022000103112210
51012303301344043
622513014014500
72224260234555
oct361200232644
9102517784180
1032380106148
11128067a9005
126338047430
133090506a30
1417d25aa32c
15c97a707d3
hex78a0135a4

32380106148 has 72 divisors (see below), whose sum is σ = 90528213048. Its totient is φ = 9693831168.

The previous prime is 32380106141. The next prime is 32380106149. The reversal of 32380106148 is 84160108323.

32380106148 is a `hidden beast` number, since 3 + 2 + 38 + 0 + 1 + 0 + 614 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1878182244 + 30501923904 = 43338^2 + 174648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (32380106141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 917661 + ... + 952292.

Almost surely, 232380106148 is an apocalyptic number.

It is an amenable number.

32380106148 is an abundant number, since it is smaller than the sum of its proper divisors (58148106900).

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

32380106148 is a wasteful number, since it uses less digits than its factorization.

32380106148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870013 (or 1870008 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 32380106148 in words is "thirty-two billion, three hundred eighty million, one hundred six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1924 2886 4329 5772 8658 17316 1869953 3739906 5609859 7479812 11219718 16829577 22439436 24309389 33659154 48618778 67318308 69188261 72928167 97237556 138376522 145856334 207564783 218784501 276753044 291712668 415129566 437569002 622694349 830259132 875138004 899447393 1245388698 1798894786 2490777396 2698342179 3597789572 5396684358 8095026537 10793368716 16190053074 32380106148