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48353600960 = 265737583417
BaseRepresentation
bin101101000010000110…
…010110010111000000
311121210211211102201122
4231002012112113000
51243012010212320
634114025251412
73331150553360
oct550206262700
9147724742648
1048353600960
1119563390095
129455633b68
13473793c902
1424a9bdc9a0
1513d007cd25
hexb421965c0

48353600960 has 112 divisors (see below), whose sum is σ = 135147612864. Its totient is φ = 16130285568.

The previous prime is 48353600959. The next prime is 48353600969. The reversal of 48353600960 is 6900635384.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48353600969) 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, 208829 + ... + 374588.

Almost surely, 248353600960 is an apocalyptic number.

48353600960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48353600960 is an abundant number, since it is smaller than the sum of its proper divisors (86794011904).

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

48353600960 is a wasteful number, since it uses less digits than its factorization.

48353600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583478 (or 583468 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 44.

The spelling of 48353600960 in words is "forty-eight billion, three hundred fifty-three million, six hundred thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 140 148 160 185 224 259 280 296 320 370 448 518 560 592 740 1036 1120 1184 1295 1480 2072 2240 2368 2590 2960 4144 5180 5920 8288 10360 11840 16576 20720 41440 82880 583417 1166834 2333668 2917085 4083919 4667336 5834170 8167838 9334672 11668340 16335676 18669344 20419595 21586429 23336680 32671352 37338688 40839190 43172858 46673360 65342704 81678380 86345716 93346720 107932145 130685408 151105003 163356760 172691432 186693440 215864290 261370816 302210006 326713520 345382864 431728580 604420012 653427040 690765728 755525015 863457160 1208840024 1306854080 1381531456 1511050030 1726914320 2417680048 3022100060 3453828640 4835360096 6044200120 6907657280 9670720192 12088400240 24176800480 48353600960