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102801834632 = 23723661120749
BaseRepresentation
bin101111110111101110…
…1111000001010001000
3100211100102210021210202
41133233131320022020
53141014232202012
6115120532031332
710266345114410
oct1375735701210
9324312707722
10102801834632
113a663a56a12
1217b10162548
13990412ca63
144d93201640
152a1a1d7cc2
hex17ef778288

102801834632 has 64 divisors (see below), whose sum is σ = 230217120000. Its totient is φ = 42078263040.

The previous prime is 102801834623. The next prime is 102801834673. The reversal of 102801834632 is 236438108201.

It is a happy 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, 790994 + ... + 911742.

It is an arithmetic number, because the mean of its divisors is an integer number (3597142500).

Almost surely, 2102801834632 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 102801834632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115108560000).

102801834632 is an abundant number, since it is smaller than the sum of its proper divisors (127415285368).

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

102801834632 is a wasteful number, since it uses less digits than its factorization.

102801834632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121446 (or 121442 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 102801834632 in words is "one hundred two billion, eight hundred one million, eight hundred thirty-four thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 661 1288 1322 2644 4627 5288 9254 15203 18508 30406 37016 60812 106421 120749 121624 212842 241498 425684 482996 845243 851368 965992 1690486 2777227 3380972 5554454 6761944 11108908 19440589 22217816 38881178 77762356 79815089 155524712 159630178 319260356 558705623 638520712 1117411246 1835747047 2234822492 3671494094 4469644984 7342988188 12850229329 14685976376 25700458658 51400917316 102801834632