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45356383423840 = 2554124329284191
BaseRepresentation
bin10100101000000010110110…
…00111110100110101100000
312221121000202100022212101211
422110001123013310311200
521421104333124030330
6240244233534235504
712360614314655236
oct1224013307646540
9187530670285354
1045356383423840
11134a7597005775
125106455055b94
131c4011c8827c8
14b2b3913d0956
15539c54ab6d2a
hex29405b1f4d60

45356383423840 has 96 divisors (see below), whose sum is σ = 109772877231360. Its totient is φ = 17699262259200.

The previous prime is 45356383423811. The next prime is 45356383423849. The reversal of 45356383423840 is 4832438365354.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45356383423849) 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, 159456145 + ... + 159740335.

It is an arithmetic number, because the mean of its divisors is an integer number (1143467471160).

Almost surely, 245356383423840 is an apocalyptic number.

45356383423840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45356383423840 is an abundant number, since it is smaller than the sum of its proper divisors (64416493807520).

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

45356383423840 is a wasteful number, since it uses less digits than its factorization.

45356383423840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308576 (or 308568 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 58.

The spelling of 45356383423840 in words is "forty-five trillion, three hundred fifty-six billion, three hundred eighty-three million, four hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 24329 48658 97316 121645 194632 243290 284191 389264 486580 568382 778528 973160 997489 1136764 1420955 1946320 1994978 2273528 2841910 3892640 3989956 4547056 4987445 5683820 7979912 9094112 9974890 11367640 11651831 15959824 19949780 22735280 23303662 31919648 39899560 45470560 46607324 58259155 79799120 93214648 116518310 159598240 186429296 233036620 372858592 466073240 932146480 1864292960 6914082839 13828165678 27656331356 34570414195 55312662712 69140828390 110625325424 138281656780 221250650848 276563313560 283477396399 553126627120 566954792798 1106253254240 1133909585596 1417386981995 2267819171192 2834773963990 4535638342384 5669547927980 9071276684768 11339095855960 22678191711920 45356383423840