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98490736512 = 2733717713373
BaseRepresentation
bin101101110111010000…
…0010101111110000000
3100102012222200210222000
41123232200111332000
53103202112032022
6113125050144000
710054456306260
oct1335640257600
9312188623860
1098490736512
11388514a9103
1217108422000
139397c25c1c
144aa48297a0
1528669b06ac
hex16ee815f80

98490736512 has 512 divisors, whose sum is σ = 356812646400. Its totient is φ = 26104135680.

The previous prime is 98490736453. The next prime is 98490736541. The reversal of 98490736512 is 21563709489.

98490736512 is a `hidden beast` number, since 9 + 8 + 4 + 90 + 7 + 36 + 512 = 666.

It is a super-2 number, since 2×984907365122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29198058 + ... + 29201430.

It is an arithmetic number, because the mean of its divisors is an integer number (696899700).

It is a 1-persistent number, because it is pandigital, but 2⋅98490736512 = 196981473024 is not.

Almost surely, 298490736512 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 98490736512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178406323200).

98490736512 is an abundant number, since it is smaller than the sum of its proper divisors (258321909888).

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

98490736512 is a wasteful number, since it uses less digits than its factorization.

98490736512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 98490736512 in words is "ninety-eight billion, four hundred ninety million, seven hundred thirty-six thousand, five hundred twelve".