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130370451642 = 23319283448999
BaseRepresentation
bin111100101101010101…
…1110011100010111010
3110110111202000010202000
41321122223303202322
54113444313423032
6135520311121430
712263462361204
oct1713253634272
9413452003660
10130370451642
11503207a2a12
1221324973276
13c3a886b8a2
14644a77b774
1535d063be7c
hex1e5aaf38ba

130370451642 has 64 divisors (see below), whose sum is σ = 306038400000. Its totient is φ = 41024049264.

The previous prime is 130370451619. The next prime is 130370451703. The reversal of 130370451642 is 246154073031.

130370451642 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 7 + 0 + 4 + 5 + 1 + 642 = 666.

It is a super-2 number, since 2×1303704516422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130370451597 and 130370451606.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65859 + ... + 514857.

It is an arithmetic number, because the mean of its divisors is an integer number (4781850000).

Almost surely, 2130370451642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130370451642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153019200000).

130370451642 is an abundant number, since it is smaller than the sum of its proper divisors (175667948358).

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

130370451642 is a wasteful number, since it uses less digits than its factorization.

130370451642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449312 (or 449306 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 130370451642 in words is "one hundred thirty billion, three hundred seventy million, four hundred fifty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 283 342 513 566 849 1026 1698 2547 5094 5377 7641 10754 15282 16131 32262 48393 96786 145179 290358 448999 897998 1346997 2693994 4040991 8081982 8530981 12122973 17061962 24245946 25592943 51185886 76778829 127066717 153557658 230336487 254133434 381200151 460672974 762400302 1143600453 2287200906 2414267623 3430801359 4828535246 6861602718 7242802869 14485605738 21728408607 43456817214 65185225821 130370451642