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90778540000 = 255431146417
BaseRepresentation
bin101010010001011010…
…0101001011111100000
322200022111211122020011
41110202310221133200
52441403301240000
6105411511054304
76362401600321
oct1244264513740
9280274748204
1090778540000
1135554134785
1215715671394
138739200335
14457247c448
1525648b52ba
hex1522d297e0

90778540000 has 120 divisors (see below), whose sum is σ = 230534555328. Its totient is φ = 35139840000.

The previous prime is 90778539983. The next prime is 90778540009. The reversal of 90778540000 is 4587709.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90778540009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 546792 + ... + 693208.

Almost surely, 290778540000 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 90778540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115267277664).

90778540000 is an abundant number, since it is smaller than the sum of its proper divisors (139756015328).

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

90778540000 is a wasteful number, since it uses less digits than its factorization.

90778540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146478 (or 146455 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 90778540000 in words is "ninety billion, seven hundred seventy-eight million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 625 775 800 992 1000 1240 1250 1550 2000 2480 2500 3100 3875 4000 4960 5000 6200 7750 10000 12400 15500 19375 20000 24800 31000 38750 62000 77500 124000 146417 155000 292834 310000 585668 620000 732085 1171336 1464170 2342672 2928340 3660425 4538927 4685344 5856680 7320850 9077854 11713360 14641700 18155708 18302125 22694635 23426720 29283400 36311416 36604250 45389270 58566800 72622832 73208500 90778540 91510625 113473175 117133600 145245664 146417000 181557080 183021250 226946350 292834000 363114160 366042500 453892700 567365875 585668000 726228320 732085000 907785400 1134731750 1464170000 1815570800 2269463500 2836829375 2928340000 3631141600 4538927000 5673658750 9077854000 11347317500 18155708000 22694635000 45389270000 90778540000