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1470064506328 = 2311313719176253
BaseRepresentation
bin10101011001000110101…
…011000011010111011000
312012112111022201111101201
4111121012223003113120
5143041143003200303
63043201024123544
7211131366062545
oct25310653032730
95175438644351
101470064506328
115174a60a8980
121b8aa97665b4
13a881b518642
1451219a13bcc
152838e26381d
hex15646ac35d8

1470064506328 has 128 divisors (see below), whose sum is σ = 3204571299840. Its totient is φ = 625876416000.

The previous prime is 1470064506307. The next prime is 1470064506371. The reversal of 1470064506328 is 8236054600741.

It is a super-2 number, since 2×14700645063282 (a number of 25 digits) contains 22 as substring.

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, 19240650 + ... + 19316902.

It is an arithmetic number, because the mean of its divisors is an integer number (25035713280).

Almost surely, 21470064506328 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 1470064506328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602285649920).

1470064506328 is an abundant number, since it is smaller than the sum of its proper divisors (1734506793512).

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

1470064506328 is a wasteful number, since it uses less digits than its factorization.

1470064506328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76529 (or 76525 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 1470064506328 in words is "one trillion, four hundred seventy billion, sixty-four million, five hundred six thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 31 37 44 62 74 88 124 148 191 248 296 341 382 407 682 764 814 1147 1364 1528 1628 2101 2294 2728 3256 4202 4588 5921 7067 8404 9176 11842 12617 14134 16808 23684 25234 28268 47368 50468 56536 65131 76253 77737 100936 130262 152506 155474 219077 260524 305012 310948 438154 521048 610024 621896 838783 876308 1677566 1752616 2363843 2409847 2821361 3355132 4727686 4819694 5642722 6710264 9455372 9639388 11285444 14564323 18910744 19278776 22570888 26002273 29128646 31034971 52004546 58257292 62069942 87462191 104009092 116514584 124139884 160207553 174924382 208018184 248279768 320415106 349848764 451494013 538879951 640830212 699697528 902988026 962084101 1077759902 1281660424 1805976052 1924168202 2155519804 3611952104 3848336404 4311039608 4966434143 5927679461 7696672808 9932868286 11855358922 16705278481 19865736572 23710717844 33410556962 39731473144 47421435688 66821113924 133642227848 183758063291 367516126582 735032253164 1470064506328