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48979306332 = 2232111937175939
BaseRepresentation
bin101101100111011001…
…001110011101011100
311200102110012120010200
4231213121032131130
51300302200300312
634300100303500
73352516143315
oct554731163534
9150373176120
1048979306332
11198545a5870
1295ab0a1b90
134807468788
142528d5760c
151419e770dc
hexb6764e75c

48979306332 has 144 divisors (see below), whose sum is σ = 146016124800. Its totient is φ = 13680938880.

The previous prime is 48979306303. The next prime is 48979306349. The reversal of 48979306332 is 23360397984.

48979306332 is a `hidden beast` number, since 489 + 79 + 3 + 0 + 63 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190419 + ... + 366357.

Almost surely, 248979306332 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 48979306332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73008062400).

48979306332 is an abundant number, since it is smaller than the sum of its proper divisors (97036818468).

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

48979306332 is a wasteful number, since it uses less digits than its factorization.

48979306332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176016 (or 176011 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 48979306332 in words is "forty-eight billion, nine hundred seventy-nine million, three hundred six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 37 38 44 57 66 74 76 99 111 114 132 148 171 198 209 222 228 333 342 396 407 418 444 627 666 684 703 814 836 1221 1254 1332 1406 1628 1881 2109 2442 2508 2812 3663 3762 4218 4884 6327 7326 7524 7733 8436 12654 14652 15466 23199 25308 30932 46398 69597 92796 139194 175939 278388 351878 527817 703756 1055634 1583451 1935329 2111268 3166902 3342841 3870658 5805987 6333804 6509743 6685682 7741316 10028523 11611974 13019486 13371364 17417961 19529229 20057046 23223948 26038972 30085569 34835922 36771251 39058458 40114092 58587687 60171138 69671844 71607173 73542502 78116916 110313753 117175374 120342276 123685117 143214346 147085004 214821519 220627506 234350748 247370234 286428692 330941259 371055351 429643038 441255012 494740468 644464557 661882518 742110702 859286076 1113166053 1288929114 1323765036 1360536287 1484221404 2226332106 2577858228 2721072574 4081608861 4452664212 5442145148 8163217722 12244826583 16326435444 24489653166 48979306332