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2253652003520 = 265113157396971
BaseRepresentation
bin100000110010111000001…
…000001000101011000000
321222110001212211201002222
4200302320020020223000
5243410434403103040
64443151411430212
7321551411650301
oct40627010105300
97873055751088
102253652003520
1179984a892365
123049335b5368
13134698110698
147b11230a7a8
153d95172bbb5
hex20cb8208ac0

2253652003520 has 112 divisors (see below), whose sum is σ = 5448497863968. Its totient is φ = 887790059520.

The previous prime is 2253652003511. The next prime is 2253652003531. The reversal of 2253652003520 is 253002563522.

It is a super-3 number, since 3×22536520035203 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5478635 + ... + 5875605.

Almost surely, 22253652003520 is an apocalyptic number.

2253652003520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253652003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724248931984).

2253652003520 is an abundant number, since it is smaller than the sum of its proper divisors (3194845860448).

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

2253652003520 is a wasteful number, since it uses less digits than its factorization.

2253652003520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397258 (or 397248 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 2253652003520 in words is "two trillion, two hundred fifty-three billion, six hundred fifty-two million, three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 157 160 226 314 320 452 565 628 785 904 1130 1256 1570 1808 2260 2512 3140 3616 4520 5024 6280 7232 9040 10048 12560 17741 18080 25120 35482 36160 50240 70964 88705 141928 177410 283856 354820 396971 567712 709640 793942 1135424 1419280 1587884 1984855 2838560 3175768 3969710 5677120 6351536 7939420 12703072 15878840 25406144 31757680 44857723 62324447 63515360 89715446 124648894 127030720 179430892 224288615 249297788 311622235 358861784 448577230 498595576 623244470 717723568 897154460 997191152 1246488940 1435447136 1794308920 1994382304 2492977880 2870894272 3588617840 3988764608 4985955760 7042662511 7177235680 9971911520 14085325022 14354471360 19943823040 28170650044 35213312555 56341300088 70426625110 112682600176 140853250220 225365200352 281706500440 450730400704 563413000880 1126826001760 2253652003520