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216374777472 = 2737157512717
BaseRepresentation
bin1100100110000011110…
…0010001011010000000
3202200111112022120100010
43021200330101122000
512021113420334342
6243222354224520
721426653156010
oct3114074213200
9680445276303
10216374777472
1183844a14947
1235b27585140
1317533925409
14a688b2dc40
155965cea29c
hex3260f11680

216374777472 has 128 divisors (see below), whose sum is σ = 661037063040. Its totient is φ = 61427478528.

The previous prime is 216374777453. The next prime is 216374777503. The reversal of 216374777472 is 274777473612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

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, 165658 + ... + 678374.

It is an arithmetic number, because the mean of its divisors is an integer number (5164352055).

Almost surely, 2216374777472 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 216374777472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330518531520).

216374777472 is an abundant number, since it is smaller than the sum of its proper divisors (444662285568).

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

216374777472 is a wasteful number, since it uses less digits than its factorization.

216374777472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512898 (or 512886 counting only the distinct ones).

The product of its digits is 19361664, while the sum is 57.

The spelling of 216374777472 in words is "two hundred sixteen billion, three hundred seventy-four million, seven hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 157 168 192 224 314 336 384 448 471 628 672 896 942 1099 1256 1344 1884 2198 2512 2688 3297 3768 4396 5024 6594 7536 8792 10048 13188 15072 17584 20096 26376 30144 35168 52752 60288 70336 105504 140672 211008 422016 512717 1025434 1538151 2050868 3076302 3589019 4101736 6152604 7178038 8203472 10767057 12305208 14356076 16406944 21534114 24610416 28712152 32813888 43068228 49220832 57424304 65627776 80496569 86136456 98441664 114848608 160993138 172272912 196883328 229697216 241489707 321986276 344545824 459394432 482979414 563475983 643972552 689091648 965958828 1126951966 1287945104 1378183296 1690427949 1931917656 2253903932 2575890208 3380855898 3863835312 4507807864 5151780416 6761711796 7727670624 9015615728 10303560832 13523423592 15455341248 18031231456 27046847184 30910682496 36062462912 54093694368 72124925824 108187388736 216374777472