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46288253112 = 233192339711117
BaseRepresentation
bin101011000110111111…
…101011000010111000
311102110220111220002220
4223012333223002320
51224244243044422
633133045524040
73226031442153
oct530677530270
9142426456086
1046288253112
11186a356a742
128b79a13620
134498a953aa
1423517b2c9a
15130daace5c
hexac6feb0b8

46288253112 has 128 divisors (see below), whose sum is σ = 127438963200. Its totient is φ = 13945333248.

The previous prime is 46288253071. The next prime is 46288253159. The reversal of 46288253112 is 21135288264.

It is a congruent number.

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, 4158178 + ... + 4169294.

It is an arithmetic number, because the mean of its divisors is an integer number (995616900).

Almost surely, 246288253112 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 46288253112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63719481600).

46288253112 is an abundant number, since it is smaller than the sum of its proper divisors (81150710088).

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

46288253112 is a wasteful number, since it uses less digits than its factorization.

46288253112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11565 (or 11561 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The spelling of 46288253112 in words is "forty-six billion, two hundred eighty-eight million, two hundred fifty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 397 437 456 552 794 874 1191 1311 1588 1748 2382 2622 3176 3496 4764 5244 7543 9131 9528 10488 11117 15086 18262 22234 22629 27393 30172 33351 36524 44468 45258 54786 60344 66702 73048 88936 90516 109572 133404 173489 181032 211223 219144 255691 266808 346978 422446 511382 520467 633669 693956 767073 844892 1022764 1040934 1267338 1387912 1534146 1689784 2045528 2081868 2534676 3068292 4163736 4413449 4858129 5069352 6136584 8826898 9716258 13240347 14574387 17653796 19432516 26480694 29148774 35307592 38865032 52961388 58297548 83855531 101509327 105922776 116595096 167711062 203018654 251566593 304527981 335422124 406037308 503133186 609055962 670844248 812074616 1006266372 1218111924 1928677213 2012532744 2436223848 3857354426 5786031639 7714708852 11572063278 15429417704 23144126556 46288253112