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48154916628 = 223271328351941
BaseRepresentation
bin101100110110010000…
…011011011100010100
311121021222222020001200
4230312100123130110
51242110124313003
634042210552500
73323216015640
oct546620333424
9147258866050
1048154916628
1119471216665
1293bab98730
134705726410
14248b67dc20
1513bc8d36a3
hexb3641b714

48154916628 has 144 divisors (see below), whose sum is σ = 150347573376. Its totient is φ = 12655077120.

The previous prime is 48154916609. The next prime is 48154916651. The reversal of 48154916628 is 82661945184.

48154916628 is a `hidden beast` number, since 4 + 8 + 1 + 5 + 4 + 9 + 1 + 6 + 628 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901138 + ... + 953078.

Almost surely, 248154916628 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 48154916628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75173786688).

48154916628 is an abundant number, since it is smaller than the sum of its proper divisors (102192656748).

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

48154916628 is a wasteful number, since it uses less digits than its factorization.

48154916628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52254 (or 52249 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 48154916628 in words is "forty-eight billion, one hundred fifty-four million, nine hundred sixteen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 283 364 468 546 566 819 849 1092 1132 1638 1698 1981 2547 3276 3396 3679 3962 5094 5943 7358 7924 10188 11037 11886 14716 17829 22074 23772 25753 33111 35658 44148 51506 51941 66222 71316 77259 103012 103882 132444 154518 155823 207764 231777 309036 311646 363587 463554 467469 623292 675233 727174 927108 934938 1090761 1350466 1454348 1869876 2025699 2181522 2700932 3272283 4051398 4363044 4726631 6077097 6544566 8102796 9453262 12154194 13089132 14179893 14699303 18906524 24308388 28359786 29398606 42539679 44097909 56719572 58797212 85079358 88195818 102895121 132293727 170158716 176391636 191090939 205790242 264587454 308685363 382181878 411580484 529174908 573272817 617370726 764363756 926056089 1146545634 1234741452 1337636573 1719818451 1852112178 2293091268 2675273146 3439636902 3704224356 4012909719 5350546292 6879273804 8025819438 12038729157 16051638876 24077458314 48154916628