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42648703972 = 22741157236627
BaseRepresentation
bin100111101110000011…
…111001001111100100
311002002021001122021121
4213232003321033210
51144321032011342
631331553423324
73036606000550
oct475603711744
9132067048247
1042648703972
11170a6099596
128322b6ab44
134038a48a14
1420c828a860
1511992d8067
hex9ee0f93e4

42648703972 has 48 divisors (see below), whose sum is σ = 87934750848. Its totient is φ = 17718554880.

The previous prime is 42648703957. The next prime is 42648703973. The reversal of 42648703972 is 27930784624.

It is not an unprimeable number, because it can be changed into a prime (42648703973) 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, 61923 + ... + 298549.

It is an arithmetic number, because the mean of its divisors is an integer number (1831973976).

Almost surely, 242648703972 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 42648703972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43967375424).

42648703972 is an abundant number, since it is smaller than the sum of its proper divisors (45286046876).

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

42648703972 is a wasteful number, since it uses less digits than its factorization.

42648703972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236836 (or 236834 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 42648703972 in words is "forty-two billion, six hundred forty-eight million, seven hundred three thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 41 82 157 164 287 314 574 628 1099 1148 2198 4396 6437 12874 25748 45059 90118 180236 236627 473254 946508 1656389 3312778 6625556 9701707 19403414 37150439 38806828 67911949 74300878 135823898 148601756 260053073 271647796 520106146 1040212292 1523167999 3046335998 6092671996 10662175993 21324351986 42648703972