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2145341200632 = 233719764821767
BaseRepresentation
bin11111001110000000010…
…011001101100011111000
321121002111111221211112220
4133032000103031203320
5240122124321410012
64321320043204040
7310665361216620
oct37160023154370
97532444854486
102145341200632
1175791a1a7023
122a7946516620
131273c6879bc6
1475b995d9880
153ac12aa208c
hex1f3804cd8f8

2145341200632 has 64 divisors (see below), whose sum is σ = 6160660830720. Its totient is φ = 609843174528.

The previous prime is 2145341200609. The next prime is 2145341200657. The reversal of 2145341200632 is 2360021435412.

It is a junction number, because it is equal to n+sod(n) for n = 2145341200593 and 2145341200602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32377788 + ... + 32443979.

It is an arithmetic number, because the mean of its divisors is an integer number (96260325480).

Almost surely, 22145341200632 is an apocalyptic number.

It is an amenable number.

2145341200632 is an abundant number, since it is smaller than the sum of its proper divisors (4015319630088).

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

2145341200632 is a wasteful number, since it uses less digits than its factorization.

2145341200632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64821980 (or 64821976 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 2145341200632 in words is "two trillion, one hundred forty-five billion, three hundred forty-one million, two hundred thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 197 394 591 788 1182 1379 1576 2364 2758 4137 4728 5516 8274 11032 16548 33096 64821767 129643534 194465301 259287068 388930602 453752369 518574136 777861204 907504738 1361257107 1555722408 1815009476 2722514214 3630018952 5445028428 10890056856 12769888099 25539776198 38309664297 51079552396 76619328594 89389216693 102159104792 153238657188 178778433386 268167650079 306477314376 357556866772 536335300158 715113733544 1072670600316 2145341200632