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488820028884 = 2231137100086001
BaseRepresentation
bin1110001110011111111…
…00011011010111010100
31201201201201010100001020
413013033330123113110
531002100411411014
61012321045401140
750213262455355
oct7071774332724
91651651110036
10488820028884
11179342187750
127a8a0a091b0
1337131b5c755
14199324a5d2c
15caae3941a9
hex71cff1b5d4

488820028884 has 48 divisors (see below), whose sum is σ = 1277898073536. Its totient is φ = 144123840000.

The previous prime is 488820028849. The next prime is 488820029063.

488820028884 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4888200288843 (a number of 36 digits) contains 333 as substring.

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, 50038117 + ... + 50047884.

It is an arithmetic number, because the mean of its divisors is an integer number (26622876532).

Almost surely, 2488820028884 is an apocalyptic number.

488820028884 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

488820028884 is an abundant number, since it is smaller than the sum of its proper divisors (789078044652).

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

488820028884 is a wasteful number, since it uses less digits than its factorization.

488820028884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100086056 (or 100086054 counting only the distinct ones).

The product of its (nonzero) digits is 16777216, while the sum is 60.

The spelling of 488820028884 in words is "four hundred eighty-eight billion, eight hundred twenty million, twenty-eight thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 100086001 200172002 300258003 400344004 600516006 1100946011 1201032012 2201892022 3302838033 3703182037 4403784044 6605676066 7406364074 11109546111 13211352132 14812728148 22219092222 40735002407 44438184444 81470004814 122205007221 162940009628 244410014442 488820028884