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45341557073664 = 2833112527152029
BaseRepresentation
bin10100100111100111001110…
…11001110010011100000000
312221112121111001221020111020
422103303213121302130000
521420334002102324124
6240233342422145440
712356551024035435
oct1223634731623400
9187477431836436
1045341557073664
11134a1278a09405
1251035b7882280
131c3b8c8cc6137
14b2a78628db8c
15539688154379
hex293ce7672700

45341557073664 has 144 divisors (see below), whose sum is σ = 124578159390720. Its totient is φ = 14625044951040.

The previous prime is 45341557073647. The next prime is 45341557073669. The reversal of 45341557073664 is 46637075514354.

It is a junction number, because it is equal to n+sod(n) for n = 45341557073598 and 45341557073607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45341557073669) 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, 298166802 + ... + 298318830.

It is an arithmetic number, because the mean of its divisors is an integer number (865126106880).

Almost surely, 245341557073664 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 45341557073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62289079695360).

45341557073664 is an abundant number, since it is smaller than the sum of its proper divisors (79236602317056).

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

45341557073664 is a wasteful number, since it uses less digits than its factorization.

45341557073664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164606 (or 164592 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 60.

The spelling of 45341557073664 in words is "forty-five trillion, three hundred forty-one billion, five hundred fifty-seven million, seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 5952 7936 11904 12527 23808 25054 37581 50108 75162 100216 150324 152029 200432 300648 304058 388337 400864 456087 601296 608116 776674 801728 912174 1165011 1202592 1216232 1553348 1603456 1824348 2330022 2405184 2432464 3106696 3206912 3648696 4660044 4712899 4810368 4864928 6213392 7297392 9320088 9425798 9620736 9729856 12426784 14138697 14594784 18640176 18851596 19459712 24853568 28277394 29189568 37280352 37703192 38919424 49707136 56554788 58379136 74560704 75406384 99414272 113109576 116758272 149121408 150812768 226219152 298242816 301625536 452438304 603251072 904876608 1206502144 1809753216 1904467283 3619506432 3808934566 5713401849 7617869132 11426803698 15235738264 22853607396 30471476528 45707214792 59038485773 60942953056 91414429584 118076971546 121885906112 177115457319 182828859168 236153943092 243771812224 354230914638 365657718336 472307886184 487543624448 708461829276 731315436672 944615772368 1416923658552 1462630873344 1889231544736 2833847317104 3778463089472 5667694634208 7556926178944 11335389268416 15113852357888 22670778536832 45341557073664